Distributed localization systems and methods and self-localizing apparatus

ABSTRACT

A transceiver network comprises first, second, and third transceivers that are configured to transmit signals that are spread over a bandwidth that exceeds the lesser of 125 MHz and 5% of an arithmetic center frequency of the signals. An additional transceiver with at least a partially unknown relative position can be added to the transceiver network. The additional transceiver receives the signals from the first, second, and third transceivers and timestamps the receptions. A position calibration unit is configured to compute the position of the additional transceiver relative to the first, second, and third transceivers based on the reception timestamps and known relative locations of the first, second, and third transceivers. The additional transceiver can be configured to transmit (e.g., in a transmission time slot) an additional signal as part of the transceiver network.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.16/410,895, filed May 13, 2019, which is a continuation of U.S. patentapplication Ser. No. 15/917,544, filed Mar. 9, 2018, which is acontinuation of U.S. patent application Ser. No. 15/173,556, filed Jun.3, 2016, now U.S. Pat. No. 9,945,929, which is a continuation of U.S.patent application Ser. No. 15/063,104, filed Mar. 7, 2016, now U.S.Pat. No. 9,885,773, which claims the benefit of U.S. ProvisionalApplication No. 62/129,773, filed Mar. 7, 2015, and U.S. ProvisionalApplication No. 62/168,704, filed May 29, 2015, all of which are herebyincorporated by reference herein in their entireties.

FIELD

The present disclosure relates to the field of localizing objects. Thedisclosure also relates to ultra wideband (UWB) localization systems andmethods. The disclosure further relates to a self-localizing receivingapparatus.

BACKGROUND

Logistics and industrial automation increasingly rely on accuratelocalization to support and control manual and automated processes, withapplications ranging from “smart things” through effective tracking andassistance solutions to robots such as automated guided vehicles (AGVs).

Ultra wideband (UWB) technology has been advocated as a localizationsolution suitable for asset tracking applications. Such applications areconcerned with maintaining a centralized database of assets and theirstorage locations in a warehouse, hospital, or factory. When using UWBtechnology, assets, such as pallets, equipment, or also people may beequipped with tags that emit UWB signals at regular intervals. Thesesignals may then be detected by UWB sensors installed in the warehouse,hospital, or factory. A central server then uses the UWB signalsdetected by the UWB sensors to compute the tag's location and update thecentralized database.

Mobile robots are increasingly used to aid task performance in bothconsumer and industrial settings. Autonomous mobile robots in particularoffer benefits including freeing workers from dirty, dull, dangerous, ordistant tasks; high repeatability; and, in an increasing number ofcases, also high performance. A significant challenge in the deploymentof mobile robots in general and autonomous mobile robots in particularis robot localization, i.e., determining the robot's position in space.Current localization solutions are not well suited for many mobile robotapplications, including applications where mobile robots operate inareas where global positioning system (GPS)-based localization isunreliable or inoperative, or applications that require operation nearpeople.

Using current UWB localization solutions for robot localization wouldnot enable a mobile robot to determine its own location directly.Rather, a robot equipped with a tag would first emit an UWB signal fromits location, UWB sensors in its vicinity would then detect that UWBsignal and relay it to a central server that would then compute themobile robot's location, and then this location would have to becommunicated back to the robot using a wireless link. This type ofsystem architecture invariably introduces significant communicationdelays (e.g., latency) for controlling the mobile robot. Thiscommunication architecture also results in a relatively higher risk oflost signals (e.g., due to wireless interference) and correspondinglylower system robustness, which makes it unsuitable for manysafety-critical robot applications (e.g., autonomous mobile robotoperation). Furthermore, in this architecture the maximum number of tagsand the tag emission frequency (i.e., the localization system's updaterate) are invariably linked since multiple UWB signals may not overlap,which results in relatively lower redundancy (i.e., a limited number oftags allowed for an available network traffic load) and limitedscalability (i.e., the system can only support a limited number of tagsin parallel).

FIG. 2A is a block diagram overview of a centralized localization systemas proposed in the prior art for use in asset tracking. In this system,tags 202 are moved within some environment, transmitting UWB signals 208at various times. In this centralized system, mobile transmitters mayoperate independently and without synchronization. Stationary UWBsensors 204 are distributed throughout the environment. They havesynchronized clocks. The UWB signals 208 transmitted by the tag 202 arereceived by the UWB sensors 204 that then communicate the signals'reception times to a centralized server 206. Based on the reception timeat each UWB sensor 204, centralized server 206 computes the location ofeach tag 202. The system architecture shown in FIG. 2A is often advancedfor asset tracking, where the location of all tags 202 should be knownat a centralized location, and where tags 202 are not required to knowtheir position. These properties make this system architectureunsuitable for situations where the objects being tracked are requiredto know their position; e.g., robots that make decisions based uponknowledge of their position. Furthermore, because each tag 202 isrequired to transmit signals 208, the update rate of the system isinversely proportional to the number of tags 202. This makes this systemarchitecture unsuitable for situations where a large number of objectsneed to be tracked with a high update rate.

FIG. 2B is a block diagram overview of another localization systemproposed in the prior art whereby mobile transceivers 252 communicatewith stationary transceivers 254 through the two-way exchange of UWBsignals 258. Such two-way communication with a stationary transceiver254 enables the mobile transceiver 252 to compute the time-of-flightbetween itself and the stationary transceiver. In this architecture,communication between mobile transceivers 252 and stationarytransceivers 254 must be coordinated, such that communications do notinterfere. Knowledge of the time-of-flight to three or more stationarytransceivers 254 enables each mobile transceiver 252 to compute itsrelative location within an environment using trilateration. Becauseeach mobile transceiver 252 communicates with each stationarytransceiver 254, the update rate of the system is inversely proportionalto the number of mobile transceivers 252 and to the number of stationarytransceivers 254. This architecture is therefore not suitable forsystems where a large number of objects must be localized at a highfrequency (e.g., tracking a group of robots, where position measurementsare used in the robots' control loops to influence the robots' motions).

BRIEF DESCRIPTION OF THE DRAWINGS

Embodiments of the present disclosure are illustrated by way of exampleand not limitation in the figures of the accompanying drawings, in whichlike references indicate similar elements and in which:

FIG. 1A is a block diagram of an illustrative localization system inaccordance with some embodiments of the present disclosure;

FIG. 1B is a block diagram of illustrative transceivers in accordancewith some embodiments of the present disclosure;

FIGS. 2A and 2B are block diagrams of two localization systems known inthe prior art;

FIGS. 3 and 4 are block diagrams illustrating different systemarchitectures for transceiver interconnection in accordance with someembodiments of the present disclosure;

FIG. 5 is a block diagram of an illustrative self-localizing apparatusin accordance with some embodiments of the present disclosure;

FIG. 6 is an illustrative timing diagram in accordance with someembodiments of the present disclosure;

FIG. 7A shows illustrative plots of channel impulse responses of achannel in accordance with some embodiments of the present disclosure;

FIG. 7B is a diagram of an illustrative structure of an UWB signal inaccordance with some embodiments of the present disclosure;

FIG. 8 is a block diagram of an illustrative localization unit 152,which includes a location update process, in accordance with someembodiments of the present disclosure;

FIGS. 9A and 9B show illustrative plots exemplifying possible effectsthat relative position, orientation, and obstacles may have on thereception timestamp of an UWB signal in accordance with some embodimentsof the present disclosure;

FIG. 10 is a block diagram of an illustrative self-localizing apparatuscapable of actuation in accordance with some embodiments of the presentdisclosure;

FIG. 11 shows an illustrative mobile robot comprising a self-localizingapparatus in accordance with some embodiments of the present disclosure;

FIG. 12 is a block diagram of an illustrative control unit that may beused, for example, with the mobile robot of FIG. 11 in accordance withsome embodiments of the present disclosure;

FIG. 13A shows an illustrative system use with an autonomous flyingrobot in accordance with some embodiments of the present disclosure;

FIG. 13B shows a plot of illustrative transmission and reception timesof UWB signals transmitted by four transceivers and received by aself-localizing apparatus or by a transceiver in accordance with someembodiments of the present disclosure;

FIG. 14A shows an illustrative transceiver network with a large numberof transceivers in accordance with some embodiments of the presentdisclosure;

FIG. 14B shows an illustrative simplified transceiver network inaccordance with some embodiments of the present disclosure;

FIG. 15A is a block diagram of an illustrative localization system thatuses a data access point in accordance with some embodiments of thepresent disclosure; and

FIG. 15B is a block diagram of an illustrative localization system wherethe self-localizing apparatuses are equipped with data transceivers andwhere the self-localizing apparatuses are able to communicate with eachother using the data transceivers in accordance with some embodiments ofthe present disclosure.

DETAILED DESCRIPTION

In accordance with the present disclosure, limitations of currentsystems for localizing have been reduced or eliminated.

Technical advantages of certain embodiments of the present disclosurerelate to localizing objects in three-dimensional space. Technicaladvantages of certain embodiments improve the localizing accuracy.Technical advantages of certain embodiments improve the rate at whichthe localizing information may be obtained or updated.

Yet further technical advantages of certain embodiments relate to thereception of wireless signals used, for example, by a device todetermine its own location. In some embodiments, the reception oflocalizing signals does not deteriorate when a direct line of sightcannot be established between a receiving device and a sufficientlylarge number of signal transmitters. For example, some embodiments allowoperation in areas without good line of sight to GNSS satellites andindoors. In some embodiments, signals are not distorted by multipath, donot suffer multipath fading observed in narrowband signals, or do notsuffer from reduced signal quality when lacking direct line of sight inindoor environments. For example, some embodiments do not showperformance degradation in enclosed environments (e.g., indoors), inforests, or in dense urban environments, such as those where retaining alock on a GNSS signals becomes more difficult.

Technical advantages of some embodiments may allow arrival of aplurality of transceiver messages at a receiver's antenna with adequatetime separation, avoiding degraded signal detection and reducedperformance of a localization system.

Technical advantages of some embodiments are such that they may be usedin real-time or may be used by an unlimited number of receivers, todetermine their 2D or 3D position, in GPS-denied environments or anyenvironment where greater accuracy or system redundancy may be desired.

Technical advantages of some embodiments may increase performance ofcurrent mobile robots and allow new uses of mobile robots by enablinglocalization with higher update rates, with lower latency, or withhigher accuracy than currently possible, resulting in more performantrobot control.

Further technical advantages of some embodiments may allow a person, amobile robot, or another machine to be equipped with a self-localizingapparatus that can determine its 3D position in space without the needto emit signals. This may increase localization performance and allownew uses of localization technology by providing regulatory advantages;by allowing scalability (e.g., the system may be used by an unlimitednumber of self-localizing apparatuses in parallel); by allowing higherredundancy (e.g., non-emitting apparatuses allow for more emittingtransceivers for a given network traffic load); by enabling moreefficient bandwidth usage (e.g., lower emissions, less interference); byincreasing energy efficiency of UWB receivers (e.g., by not requiringenergy for transmissions); by enhancing privacy of operation; and bymaking data available locally where it is needed, resulting in increasedupdate rates, speed, and system robustness.

Further technical advantages of some embodiments may allow improvedsystem performance by fusing data from several sources including UWBsignals, readings of global properties from multiple locations, andonboard motion sensors.

Further technical advantages of some embodiments are linked to providinga distributed localization system. Such a system may provide increasedrobustness and safety for robot operation because it does not rely onsensor signals from a single source. It may also offer gracefulperformance degradation by providing redundancy; may allowidentification and resolution of inconsistencies in data by providingredundant data; may provide higher performance by performinglocalization based on a comparison of the signals received fromindividual transceivers; and may allow for easy scalability byautomatically adapting to adding/removing transceivers.

Yet further technical advantages of some embodiments allow forlocalization without direct line of sight between a transceiver andself-localizing apparatus. Moreover, further technical advantages allowfor lower susceptibility to disturbance from radio frequency traffic,secure communications, and increasing resistance to interference, noise,and jamming.

Further technical advantages will be readily apparent to one skilled inthe art from the following description, drawings, and claims. Moreover,while specific advantages have been enumerated above, variousembodiments may include all, some, or none of the enumerated advantages.The listed advantages should not be considered as necessary for anyembodiments.

The present disclosure uses timestampable signals. Timestampable signalsare radio frequency (RF) signals, with each signal having a feature thatcan be detected and that can be timestamped precisely. Examples offeatures include a signal peak, a signal's leading edge, and a signalpreamble. Examples of timestampable signals include RF signals with adistinct, well-defined, and repeatable frequency increase or frequencydecrease with time. Further examples of timestampable signals includesignal bursts, signal chirps, or signal pulses. Further examples oftimestampable signals include signals with features suitable for phasecorrelation or amplitude correlation techniques (e.g., signals withcodes that have low auto-correlation values).

In some embodiments, the timestampable signal are “open-loop”,one-directional RF signals transmitted over a reception area. Examplesinclude DCF77 time code signals, GPS P-code signals, and terrestrialtrunked radio signals. In some embodiments, the apparatus is anon-emitting apparatus.

In some embodiments, the timestampable signals use a narrow frequencyband. In some embodiments, a center or carrier frequency in the ISM bandis used. In some embodiments, a center or carrier frequency in the rangeof 1 to 48 GHz is used. In some embodiments, a center or carrierfrequency in the range of 2.4 to 12 GHz is used. In some embodiments, acenter or carrier frequency in the range of 3.1 to 10.6 GHz is used. Insome embodiments, higher frequencies are used. Narrow band signals tendto suffer from multipath fading more than wide band signals (e.g., ultrawideband (UWB) signals). In narrow band signals, signal duration istypically longer than the delay variance of the channel. Conversely,with UWB signals the signal duration is typically less than the delayvariance of the channel. For example, in the case of an UWB system witha 2 nanosecond pulse duration, the pulse duration is clearly much lessthan the channel delay variation. Thus, signal components can be readilyresolved and UWB signals are robust to multipath fading.

In some embodiments, the timestampable signals are UWB signals. UWBsignals are spread over a large bandwidth. As used herein, UWB signalsare signals that are spread over a bandwidth that exceeds the lesser of125 MHz or 5% of the arithmetic center frequency. In some embodiments,UWB signals are signals that are spread over a bandwidth that exceedsthe lesser of 250 MHz or 10% of the arithmetic center frequency. In someembodiments, UWB signals are signals that are spread over a bandwidththat exceeds the lesser of 375 MHz or 15% of the arithmetic centerfrequency. In some embodiments, UWB signals are signals that are spreadover a bandwidth that exceeds the lesser of 500 MHz or 20% of thearithmetic center frequency. In some embodiments, a bandwidth in therange of 400-1200 MHz is used. In some embodiments, a bandwidth in therange of 10-5000 MHz is used. In some embodiments, a bandwidth in therange of 50-2000 MHz is used. In some embodiments, a bandwidth in therange of 80-1000 MHz is used. Ultra wideband technology allows aninitial radio frequency (RF) signal to be spread in the frequencydomain, resulting in a signal with a wider bandwidth, ordinarily widerthan the frequency content of the initial signal. UWB technology issuitable for use in a localization system because it can transmit veryshort-duration pulses that may be used to measure the signal's arrivaltime very accurately and hence allow ranging applications. UWB signalsmay be advantageous for use in localization systems because of theircapability to penetrate obstacles and to allow ranging for hundreds ofmeters while not interfering with conventional narrowband and carrierwaves used in the same frequency bands.

In some embodiments, the arrival time of timestampable signals can bemeasured to within 0.6 nanoseconds relative to a clock. In someembodiments, the arrival time of timestampable signals can be measuredto within 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, or 15nanoseconds relative to a clock.

In some embodiments, the transmission times of two subsequenttimestampable signals are separated by 1-500 microseconds. In someembodiments, the transmission times of two subsequent timestampablesignals are separated by 400-2000 microseconds. In some embodiments, thetransmission times of two subsequent timestampable signals are separatedby 1-1000 milliseconds. In some embodiments, combinations of timeseparations are used. In some embodiments, no time separation is used.

In some embodiments, the signal's mean equivalent isotropically radiatedpower (EIRP) density is smaller than −40 dBm/MHz at all frequencies. Insome embodiments, the signal's mean EIRP density is smaller than −80,−70, −60, −50, −30, −20, or −10 dBm/MHz at all frequencies.

In some embodiments, the transmitted signal's maximum power is smallerthan 0.1 mW per channel. In some embodiments, the transmitted signal'smaximum power is smaller than 1.0 mW per channel. In some embodiments,the transmitted signal's maximum power is smaller than 100 mW perchannel. In some embodiments, the transmitted signal's maximum power issmaller than 500 mW per channel. In some embodiments, the transmittedsignal's maximum power is smaller than 10 W per channel.

In some embodiments, the less limiting of a signal's EIRP density and asignal's maximum power applies. In some embodiments, the more limitingof a signal's EIRP density and a signal's maximum power applies. In someembodiments, one of a limit on a signal's EIRP density and a limit on asignal's maximum power applies. In some embodiments, both of a limit ona signal's EIRP density and a limit on a signal's maximum power applies.In some embodiments, a limit applies to narrow band signal. In someembodiments, a limit applies to broadband signal.

In some embodiments, a transceiver's typical effective range is between1 m and 50 m. In some embodiments, a transceiver's typical effectiverange is between 1 m and 100 m. In some embodiments, a transceiver'stypical effective range is between 1 m and 500 m. In some embodiments, atransceiver's typical effective range is between 1 m and 1000 m. In someembodiments, a transceiver's typical effective range is between 1 m and5000 m. In some embodiments, the apparatus may only receive UWB signalsfrom a subset of transceivers.

In some embodiments, a maximum data rate of 50 Mbps is used. In someembodiments, a maximum data rate of 5 Mbps is used. In some embodiments,a maximum data rate of 1 Mbps is used.

In some embodiments, chirp spread spectrum (CSS) signals are used. Insome embodiments, frequency-modulated continuous-wave (FMCW) signals areused.

Some embodiments include a localization unit. In some embodiments, thelocalization unit can compute at least one of (i) an orientation ororientation information, (ii) a position, or (iii) a motion of theself-localizing apparatus.

In some embodiments, the localization unit computes the location of theself-localizing apparatus based on the reception times of the UWBsignals and the known locations of the transceivers. In someembodiments, a time of arrival scheme is used. In some embodiments, atime difference of arrival scheme is used. Multilateration requires thelocalization unit to compute the time-difference between the receptiontimes of two UWB signals. By subtracting the known time-difference ofthe signals' transmission times from the difference in their receptiontimes (also referred to as a “TDOA measurement”), a localization unitmay compute the difference in distance to the two transceivers, fromwhich the signals were transmitted (e.g., transceiver two is 30 cmfurther away than transceiver one, since the reception of the signalfrom transceiver two was delayed by 1 ns in comparison to the signalfrom transceiver one). By computing the difference in distance betweenmultiple transceivers, the localization unit may be able to compute thelocation of the self-localizing apparatus by solving a system ofhyperbolic equations, or a linearized version thereof. Methods ofsolving this system of equations are well known to those skilled in theart and may include non-linear least squares, least squares, Newtoniterations, gradient descent, etc. The method of multilaterationrequires the time-difference of the signals' transmission times to beknown.

In some embodiments, the localization unit of the self-localizingapparatus may compute location iteratively. In some embodiments, ratherthan waiting for an UWB signal to be received from all transceivers, thelocalization unit iteratively updates the location estimate whenever anUWB signal is received. In some embodiments, when an UWB signal isreceived, an adjustment to the current location estimate is computed independence of the difference between its reception time and thereception time of a previously received UWB signal. In some embodiments,a known method of filtering (e.g., Kalman filtering, particle filtering)is used to compute or apply this update. In some embodiments, theadjustment is computed based on the variance of the current locationestimate (e.g., if the current estimate is highly accurate, lessadjustment will be applied). In some embodiments, the adjustment iscomputed based on the locations of the two transceivers from which theUWB signals were transmitted. In some embodiments, this adjustment iscomputed based on a measurement model, describing the probabilitydistribution of a TDOA measurement based on the current locationestimate and the locations of the two transceivers. In some embodiments,this enables more or less adjustment to be applied depending on howaccurate the TDOA measurement is determined to be (e.g., if a firsttransceiver lies on a line connecting the current location estimate witha second transceiver, the TDOA measurement resulting from the twotransceivers may be considered unreliable, and thus less adjustmentapplied).

In some embodiments, the localization unit updates a location estimatebased on a system model, describing the probability distribution of theself-localizing apparatus' location. In some embodiments, this systemmodel may be based on other estimated states (e.g., the velocity orheading of the self-localizing apparatus). In some embodiments, thissystem model may be based on input history (e.g., if an input commandshould yield a motion in the positive x-direction according to systemdynamics, it is more probable the new location estimate lies in thepositive x-direction, than in the negative x-direction).

In some embodiments, this system model may be based on measurements froma sensor or global property. In some embodiments, the localization unitmay compute the location of the self-localizing apparatus based on aglobal property. In some embodiments, the localization unit may computethe location of the self-localizing apparatus based on the differencebetween a global property measured by the self-localizing apparatus anda global property measured by one or more of the transceivers (e.g., ifboth self-localizing apparatus and transceiver measure air pressure, therelative altitude difference between the two can be computed accordingto the known relationship between altitude and air pressure).

In some embodiments, the localization unit may use a history of locationestimates and a system model to compute further dynamic states of thebody, for example, velocity or heading. For example, if the history oflocation estimates indicates motion, velocity can be estimated. Afurther example is if the history of location estimates indicates motionin the positive y-direction, and the system model indicates that onlyforward motion is possible (e.g., a skid-steer car), the orientation canbe determined as oriented in the positive y-direction.

In some embodiments, the location is a 1D location, a 2D location, a 3Dlocation, or a 6D location (i.e., including position and orientation).

In some embodiments, the relative location computed by the localizationunit is computed with an accuracy of 1 m, 20 cm, 10 cm, or 1 cm. In someembodiments, the time delay between the reception of an UWB signal andthe computation of an updated position estimate provided by thelocalization unit is less than 50 ms, 25 ms, 10 ms, 5 ms, 2 ms, or 1 ms.In some embodiments, the system's update rate for full position updatesor for partial position updates is more than 1 Hz, 5 Hz, 10 Hz, 50 Hz,250 Hz, 400 Hz, 800 Hz, 1000 Hz, or 2000 Hz.

In some embodiments, a localization system comprises at least 1, 2, 3,5, 7, 10, 25, 50, 100, or 250 anchors. In some embodiments, alocalization system supports more than 1, 2, 3, 5, 10, 20, 40, 100, 200,500, 1000, 5000, or 10000 self-localizing apparatuses.

A clock as used herein refers to circuitry, structure, or a device thatis capable of providing a measure of time. The measure of time may be inany suitable units of time. For example, the measure of time may bebased on a base unit of a second. As another example, the measure oftime may be based on a counter that increments at a particular rate. Insome embodiments, the clock comprises an internal oscillator used todetermine the measure of time. In some embodiments, the clock determinesthe measure of time based on a received signal (e.g., from an externaloscillator).

In some embodiments, each transceiver may use its own onboard clock. Insome embodiments, a single clock may generate a clock signal transmittedto each transceiver via cables or wirelessly. In some embodiments, theclock signal may be dependent on at least one-time code transmitted by aradio transmitter, or on at least one of a terrestrial radio clocksignal, a GPS clock signal, and a time standard. In some embodiments,the clock signal may be based on a GPS-disciplined oscillator, on atransmitter, or on a time estimate computed from at least two clocks toimprove accuracy or long-term stability of the clock signal.

Clocks may, for example, use a crystal oscillator or a temperaturecompensated crystal. In some embodiments, enhanced clock accuracy may beobtained through temperature stabilization via a crystal oven (OCXO) orvia analog (TCXO) compensation or via digital/micro-controller (MCXO)compensation. In some embodiments, a centralized synchronization unit isused. In some embodiments, an atomic oscillator (e.g., rubidium) is usedas a clock.

In some embodiments, a clock is structured and arranged to have an Allanvariance of at most (1×10⁻⁸)² or (1×10⁻⁹)² or (5×10⁻¹⁰)² for averagingintervals between 5 milliseconds and 10 milliseconds or for averagingintervals between 5 milliseconds and 100 milliseconds or for averagingintervals between 1 milliseconds and 1 second.

The apparatus or transceiver may be equipped with analog and digitalreception electronics. The reception electronics may amplify thereceived signal and convert it to a base signal, which may then bedemodulated and passed on to a central processing electronics. Animportant design aspects of the receiver is to minimize noise anddistortion. This may be achieved by carefully selecting receptionelectronics' components (especially those of the amplifier) and byoptimizing the receiver's circuit design accordingly.

In some embodiments, the self-localizing apparatus is, or theself-localizing apparatus' antenna, analog reception electronics, anddigital reception electronics are, structured and arranged to receivetwo UWB signals within a time window of 2, 10, or 50 seconds, whereinthe time difference between the time stamps of the two UWB signals iswithin 0.6, 3, or 15 nanoseconds of the time difference between theirreception times at the apparatus' antenna with reference to theapparatus' clock.

In some embodiments, the apparatus' digital reception electronics arefurther operable to perform the timestamping of the received UWB signalswith reference to the apparatus' clock in less than 1 millisecond, 100microseconds, or 10 microseconds.

The apparatus or transceiver may be equipped with analog and digitaltransmission electronics.

In some embodiments, a transceiver is, or transceiver's digitaltransmission electronics, analog transmission electronics, and antennaare, configured to transmit two UWB signals within a time window of 2,10, or 50 seconds, or configured such that the time difference betweenthe transmission of two UWB signals from the transceiver's antenna iswithin 0.6, 3, or 15 nanoseconds of the time difference between theirscheduled transmission times with reference to the transceiver's clock.

In some embodiments, a scheduling unit is used to schedule UWB signaltransmission times. It will be apparent to one skilled in the art thatany error by transceivers in adhering to this transmission schedule mayaffect the accuracy of the location computed by a localization unit.

In some embodiments, the scheduled time refers to the time at which thefirst pulse of the signal leaves the transceiver's antenna. In someembodiments, the scheduled time refers to the beginning of astart-of-frame delimiter (i.e., the point at which the transmittedsignal changes from the repeated transmission of a preamble code to thetransmission of the start-of-frame delimiter). In some embodiments, theapparatus is structured and arranged to compare two UWB signalstransmitted by the same transceiver.

In some embodiments, transceivers coordinate their transmissions at thepacket level. In some embodiments, packet emission overlap is avoided.In some embodiments, packets are emitted in a round-robin fashion; atregular intervals; in a specific time sequence; or taking turns. In someembodiments, transceivers transmit packets simultaneously.

In some embodiments, each of three or more transceivers includes ascheduling unit. In some embodiments, a single scheduling unit isoperationally coupled to three or more transceivers. In someembodiments, this operational coupling is a wired connection. In someembodiments, this operational coupling is a wireless connection. In someembodiments, this wireless operational coupling is implemented using UWBsignals. In some embodiments, the scheduling unit uses a lower updaterate than the UWB signal rate.

In some embodiments, the scheduling unit is operable to ensure a timeseparation of at least 5 microseconds, 10 microseconds, or 50microseconds between one transceiver terminating its transmission and adifferent transceiver beginning its transmission. In some embodiments,the scheduling unit is operable to monitor the UWB signals. In someembodiments, the scheduling unit is operable to compute an improvedscheduling. In some embodiments, the scheduling unit is operable toensure a time separation of at least 1 microsecond, 5 microseconds, or10 microseconds between the end of one UWB signal and the start of asecond UWB signal emitted by the same transceiver. In some embodiments,the scheduling unit is operable to maintain a memory of the assignmentof media access control addresses and scheduled transmission times.

In some embodiments, each of the three or more transceivers comprises asensor. In some embodiments, the sensor is physically and operationallycoupled to the transceiver. In some embodiments, the sensor is operableto provide data representative of the orientation, the position, or themovement of the transceiver. In some embodiments, the sensor isstructured to detect a disturbance to the transceiver's position ororientation.

In some embodiments, the apparatus comprises a sensor, physically andoperationally coupled to the apparatus and operable to provide datarepresentative of the orientation of the apparatus. In some embodiments,the sensor is operable to provide data representative of theorientation, the position, or the movement of the apparatus. In someembodiments, the sensor is structured and arranged to provide datarepresentative of the orientation of a self-localizing apparatus'antenna.

Data from a sensor may be processed by a localization unit or by aposition calibration unit. For example, data related to a landmark maybe compared with other data (e.g., data related to another landmark,data from memory, sensor data, data representative of a location) toimprove a position estimate or a position calibration unit. As anotherexample, a comparison of the position of a landmark relative to atransceiver detected by a first camera and the position of the samelandmark relative to a self-localizing apparatus detected by a secondcamera may allow a localization unit to improve a localization estimate.A comparison may use data related to one or more landmarks. A comparisonmay use data related to observations by one or more visual sensors.

Typical examples of sensors that may be usefully employed as part of thepresent disclosure include an optical sensor, an accelerometer, amagnetometer, and a gyroscope.

In some embodiments, micro-electro-mechanical systems (MEMS) orpiezoelectric systems may be used to allow achieving operatingcharacteristics outlined in the present disclosure. Examples of suchmicro-sensors that can be usefully employed with the present disclosureinclude MEMS gyroscopes, MEMS accelerometers, piezoelectric gyroscopes,and piezoelectric accelerometers. In some embodiments, the use ofmicro-sensors allows using one or more inertial measurement units(IMUs), which may each combine multiple gyroscopes or accelerometers oruse multiple-axis gyroscopes or accelerometers, in each subsystem. Insome embodiments, such selection of micro-sensors allows creating orusing a self-localizing apparatus suitable for highly dynamic movementthat require low weight and low power consumption in spite of highperformance. For example, a 3-axis MEMS gyroscope may be used to monitora self-localizing apparatus' attitude and to allow triggering a signalif an attitude threshold is exceeded. As another example, a MEMSgyroscope may be used to control a small flying robot equipped with aself-localizing apparatus around hover in spite of its low timeconstant. Examples of optical sensors include infrared sensors, linearcameras, optic flow sensors, and imaging sensors, among others.

Some embodiments comprise a global property sensor, i.e., a sensoroperable to provide data representative of a global property.

Examples of global properties include fields that have a determinablevalue at multiple or every point in a region, such as a gravitationalforce, an electromagnetic force, a fluid pressure, and a gas pressure.Further examples of global properties include an RF signal strength, aGPS signal, the Earth's magnetic field, the Earth's gravitational field,the atmosphere's pressure, landmarks, and radio time signals (e.g.,those sent by DCF77 time code transmitters). Examples of landmarksinclude the horizon, the sun, moon or stars, mountains, buildings, andprominent environmental features. Prominent environmental features mayinclude distinctive natural features such as mountains, distinctivebuildings such as monuments, and others such as those used insimultaneous localization and mapping (SLAM). Further examples forlandmarks include those used in Scale-Invariant Feature Transform (SIFT)and Speeded Up Robust Features (SURF). Note that in the presentdisclosure, GPS or GNSS may be used as a placeholder to describe anysimilar signals by other global navigation satellite systems such ase.g., GLONASS, Galileo, IRNSS, or BeiDou-2 as well as their improvedversions such as real-time kinematic (RTK) GPS or DGPS.

In some embodiments, an apparatus and a transceiver are both configuredto detect the same global property. In some embodiments, a transceiveris configured to communicate data representative of the global propertyat its location to an apparatus or to another transceiver, and theapparatus or the another transceiver is configured to compare the datawith data representative of the same global property at the apparatus'or the another transceiver's location. In some embodiments, the globalproperty can be associated with a global property model.

In some embodiments, the global property sensor is an orientationsensor. The orientation sensor may enable the transceiver to measure itsorientation relative to a frame of reference common to the transceiversand the self-localizing apparatus. The transceiver may then transmitsignals representative of its orientation included as data (payload)within the UWB signals. In some embodiments, a transceiver is capable ofmeasuring its orientation and of transmitting this orientation as apayload of UWB signals.

In some embodiments, a position calibration unit may compute an estimatefor the position of a transceiver. In some embodiments, the transceiverposition is computed once (e.g., as part of a calibration routine duringthe localization system's setup). In some embodiments, the transceiverposition is computed continuously (e.g., each time new data related tothe transceiver's position becomes available). In some embodiments, thetransceiver position unit is initialized with known, partially known,estimated, or partially estimated position information (e.g., initialtransceiver distances, positions, or orientations may be measured orentered manually).

Position calibration may be achieved in various ways. For example, theposition calibration unit may compute a transceiver's position based ontime stamped UWB signals received from other transceivers with knownlocations. This may, for example, allow for the addition of anadditional transceiver to an existing network of transceivers. In someembodiments, a position calibration unit operates analogously to alocalization unit or vice versa. In some embodiments, a positioncalibration unit is operationally coupled to a compensation unit.

In some embodiments, a single position calibration unit may be used tocompute the location of multiple transceivers relative to each other.This may, for example, allow initialization of a network of transceiversthat do not yet have known locations. In some embodiments, multipleposition calibration units are used (e.g., one for each transceiver).

In some embodiments, a position calibration unit is implemented offboarda transceiver. For example, the position calibration unit may beimplemented on a laptop computer connected to the transceiver using acable. This may, for example, allow for a more convenient interface foran operator.

In some embodiments, the synchronization unit is operable to synchronizeat least one of (i) an offset of the first clock, and (ii) a rate of afirst clock, based on a second clock. In some embodiments, thecorrection is computed or the synchronization is performed based on atleast one of an average, a median, and a statistical property of amultitude of the localization system's clocks. In some embodiments,global properties that also provide timing information, such as thoseprovided by GPS, DCF77, and further systems, are used. In someembodiments, the synchronization unit uses global properties that alsoprovide timing information.

In some embodiments, the synchronization unit is operable to implicitlyor explicitly account for timing errors introduced by at least one of(i) a first difference between the rate of the apparatus' clock and therate of a first communicating transceiver's clock and (ii) a seconddifference between the rate of the apparatus' clock and the rate of asecond, different communicating transceiver's clock.

In some embodiments, the synchronization unit is operable to perform thesynchronization or to compute the clock correction based on acompensation computed by a compensation unit or data stored in a memory.

In some embodiments, the synchronization unit is operable to synchronizethe onboard clock's rate such that the statistical mean error betweenthe onboard clock's rate and the median of the two other transceivers'onboard clock rates is less 10 parts per million or 1 part per millionor 100 parts per billion. In some embodiments, the synchronization unitis operable to synchronize the onboard clock's offset such that thestatistical mean error between the onboard clock's offset and the medianof the two other transceivers' onboard clock offset is less than 10nanoseconds or 5 nanoseconds or 1 nanosecond. In some embodiments, thisis achieved by implicitly or explicitly accounting for timing errorsintroduced by one or more of the transceiver's antenna, and thetransceiver's analog and digital transmission electronics, or bycomputing clock corrections to the onboard clock's offset in dependenceof the timestamped UWB clock synchronization signal and data provided bythe transceiver's memory unit, or by altering a clock rate (e.g., butaltering a voltage, a temperature, or a crystal trim of a clock).

In some embodiments, a compensation unit is used to correct for signaldelays. In some embodiments, compensations are computed once (e.g., aspart of a calibration routine) and stored in a memory. In someembodiments, compensations are computed dynamically or continuouslyduring operation.

The compensation unit computes compensations for effects on the UWBsignal from the moment of scheduling the transmission time of the UWBsignal at the transceiver to the moment of timestamping the UWB signalat the transceiver's or apparatus' reception electronics. These includeeffects onboard the self-localizing apparatus or transceiver as well aseffects during flight from transmitting to receiving antenna. Someexamples of effects include: (1) obstacles in or near the direct signalpath (e.g., obstacles in the lobe of the electromagnetic wave will alsocause changes to the spectral shape), (2) transmitting medium (e.g., thetransmission of different frequencies contained in the signal is not thesame for all media), (3) variations in signal gain (e.g., calibrationmay be conducted for a specific gain, but it may be preferable to altergains to meet specific requirements of a use case), (4) variations insignal power (e.g., in practice actual transmit power is not onlyaffected by the signal gain, but also by losses between thetransmitter's electronics and the antenna), (5) oscillator trim (e.g.,capacitors used to fine tune the operating frequency of its crystaloscillator clock), (6) altering system components (e.g., calibration isspecific to a particular combination of components, including antennacables and connectors), (7) corrosion (e.g., signal may be affected bydegradation of the system's components, especially antenna, cable, orconnectors, over time), (8) external sources of interference (e.g.,further receiver and transmitter antennae as well as digital equipment,AC power equipment, etc. may cause interference), (9) operatingenvironment (e.g., changes in temperature, humidity, magnetic fields,and further factors may affect the operation of the electronics andhence affect spectral shape or its detection), (10) power supply (e.g.,changes in the voltage supply may affect operation of the electronics),(11) mounting points (e.g., metal objects and structures close to theantenna may cause interference; antennae should be positioned at leastone-quarter wavelength (e.g., >7.5 cm for a 1 GHz signal) from metalobjects and structures), (12) spectral bandwidth (e.g., calibration isspecific to the bandwidth used, which may need to be altered for use indifferent regions, e.g. to conform with a regulatory spectral mask),(13) multipath interference (e.g., signals reflected off differentsurfaces arriving at the receiver at slightly different times andstrengths), and (14) aging of the system's components may also influencemeasured delays, particularly for clocks, which continue to age evenafter their first few weeks of operation, with aging rates of 0.1 PPBper day for the highest quality crystal clocks.

Compensation is typically achieved by correcting the reception timestamp or by correcting transmission time information (e.g., atransmission time stamp included in the UWB data as payload), e.g. basedon signal quality or group delay. This correction may be computed andapplied immediately (e.g., by computing corrections for or modifyingindividual timestamps) or in batch (e.g., by computing corrections foror modifying timestamps in batch). The compensation may use several datasources to determine the required correction; examples include (i) datarepresentative of the location and orientation of the transceivers andthe apparatus; (ii) data provided by onboard sensors; (iii) data storedin a memory; (iv) data provided by the synchronization unit; and (v)quality metrics provided by the digital reception electronics.

In some embodiments, the compensation unit compensates for effects ofposition, orientation, or movement of the apparatus' antenna relative toa transceiver's antenna. In some embodiments, the compensation unitcompensates for effects of obstacles. In some embodiments, thecompensation is performed by computing (i) data representative of acorrection for a distance, time, or duration, (ii) data representativeof a correction for a comparison of a first and a second distance, time,or duration, or (iii) data representative of a correction for acomparison of a multitude of distances, times, or durations. In someembodiments, the data representative of a correction is provided to thelocalization unit.

In some embodiments, the compensation unit may account for obstaclestraversed by an UWB signal between the apparatus' antenna and thetransmitter's antenna. Such obstacles and their locations relative tothe transceivers, their properties, etc. may be known from blueprints oron-site measurements. Obstacles may also be determined as part of acalibration routine, during operation, entered manually, or acombination thereof (e.g., entered manually and adjusted duringoperation).

Determining obstacles during operation may, for example, be achievedusing quality metrics related to the received signal. Since UWB signalscover a wide range of frequencies, and the transmission ofelectromagnetic waves depends on both the waves' frequency and thematerial they pass through, differences in the UWB signal's spectrum atthe receiving apparatus may be used to indicate presence of obstacle'sin or near the signal's path. For example, an attenuation or completeabsence of a certain frequency range in the received spectrum mayindicate the presence of an obstacle absorbing that specific frequencyin the path between transceiver and receiver. Conversely, an increase ofcertain frequencies may indicate an obstacle near the signal's directpath, reflecting certain frequencies towards the receiver. However, evenmonitoring a simple change in the UWB signal's spectral shape over timemay provide useful information and may, for example, be used as ameasure of confidence for the ranging measurement when fusing data frommultiple measurements into an estimator, both by the localization unitor by the compensation unit. This is particularly important forobstacles close to the transmitting or receiving antenna, including thetransceiver's/apparatus own electronics and housing as well as itsmounting points. This may, for example, also by achieved by comparingthe relative distance between a transceiver and an apparatus computedfrom the travel time of an UWB signal with the relative distance betweenthe transceiver and the apparatus as computed by the localization unitand using quality metrics (e.g., measurement noise, multiplemeasurements over time/by different apparatuses/in different relativeorientations/at different distances/in different directions such asthose that may be provided by the reception electronics, synchronizationunit, compensation unit, or localization unit in real-time or frommemory) to compute compensations. This may also be achieved by thethree-dimensional reconstruction of obstacles (e.g., using simultaneouslocalization and mapping (SLAM)), in some embodiments by combining datafrom multiple ranging measurements. A large amount of ranging data, e.g.from operating multiple self-localizing apparatuses and transceivers foran extended period of time, may be used. Reconstruction may further beaided by assumptions on the obstacles (e.g., assuming constraints fortheir size, their orientation in space, their surface properties (e.g.,planar surfaces), their material (e.g., homogeneous obstacles), etc.) orby using methods for point cloud matching (e.g., to detect knownobstacles from a candidate library). Compensation for obstacles may alsobe aided by data from the reception electronics (e.g., peakshape/spectral shape) used in combination with models for the impact ofobstacles or transmitting media on peak/spectral shape. Data related onobstacles, their impact on the UWB signal, or data related to computingcompensation values may be stored in a memory for future use by thecompensation unit, e.g. as a look-up table of compensation values fordifferent regions of space.

In some embodiments, the compensation unit may also use informationprovided by further system components such as the reception electronics(e.g., quality metrics, group delay of the UWB signal), the localizationunit (e.g., obstacles, prior estimate of the apparatus' location andorientation), the synchronization unit (e.g., information about thelocal clock's behavior), or data from memory (e.g., data related toprevious UWB signals from the same transceiver, data related toproperties or settings of the localization system or its components,data related to the communication architecture, data related to thesetup of transceivers including their position, orientation, andmounting in space) as part of its computation. An interestingcombination may result from the use of SLAM, which may be used as partof estimation performed by the localization unit and may help determineobstacles from reconstruction of the environment, which can then be usedby the compensation unit. Another interesting combination may resultfrom the use of sensors to detect an absence of movement. For example, asensor may, in some embodiments be used to detect that a self-localizingapparatus is not moving (e.g., by determining that the output of anaccelerometer sensor has stayed below a certain threshold for a certainamount of time). The compensation unit may use the detected absence ofmovement of the apparatus to compute improved compensations by averagingUWB signals over the duration of the absence of movement. Similarly, thelocalization unit may use the detected absence of movement to improveits localization estimate. As another example, central processingelectronics in some embodiments may use a detected absence of movementto calibrate a MEMS gyroscope.

In some embodiments, the compensation unit may also account for theimpact of the relative orientation, direction and distance of theapparatus' antenna relative to the transceiver's antenna. This isimportant due to the difficulty in creating omnidirectional antennae forUWB. This is also important because some apparatuses may be receivingsignals from a larger number of transceivers, receiving signals at ahigher update rate, or receiving signals with a higher quality thanothers, depending on their location in space relative to thetransceivers, or on the communication architecture used. Correspondingdata related to the computation of compensation values may be determinedas part of a calibration routine or during use (e.g., provided by anoperator), and improved using assumptions (e.g., radial symmetries) orusing data from other system components as outlined above. They may thenbe stored in a memory for use, e.g. as a look-up table of compensationvalues for different pairwise combinations of relative antennaorientations, directions, and distances.

In some embodiments, the compensation unit may also account for theimpact of the aging (e.g., corrosion) or other time-dependent changes(e.g., heating up/cooling down) of components. Corresponding datarelated to the computation of compensation values may be determined aspart of a calibration routine or during use, and improved usingassumptions (e.g., models such as a model of an antenna's radiationpattern) or using data from other system components as outlined above.They may then be stored in a memory unit for use, e.g. as a look-uptable of compensation values for different changes as a function of timeor as a function of sensor data.

In some embodiments, the compensation unit may also account for theimpact of external sources of interference such as changes in theoperating environment (ambient temperature, humidity, air pressure) thatmay affect both the operation of the electronics as well as thepropagation characteristics of the UWB signal and which may bedetermined by a sensor. Further examples of external sources includeindirect consequences of the operating environment or obstacles, such asmultipath interference. Corresponding data related to the computation ofcompensation values may be determined as part of a calibration routineor during use, and improved using assumptions (e.g., models for theeffect of humidity on UWB signal propagation), or using data fromfurther system components as outlined above. They may then be stored ina memory for use, e.g. as a look-up table of compensation values fordifferent changes as a function of environmental data communicated tothe compensation unit (e.g., from an onboard or offboard weatherstation) or from the apparatus' onboard sensor.

In some embodiments, the compensation unit may also account for theimpact of system settings or properties, such as variations in signalgain, signal power, oscillator trim, power supply voltage, spectralbandwidth, or altered system components. Again, corresponding datarelated to the computation of compensation values may be determined aspart of a calibration routine or during use, and improved usingassumptions (e.g., a model) or using data from further system componentsas outlined above. Performance of the compensation unit may be furtherimproved by allowing the compensation unit access to correspondingsystem data and, if available, sensor readings (e.g., as detectedonboard or as detected offboard and communicated to the compensationunit). They may then be stored in a memory unit for use, e.g. as apolynomial function of system settings of properties, or as a look-uptable for settings/properties.

In some embodiments, the compensation unit may also account for theimpact of system components. Other electronic components, including inparticular amplifiers, analogue reception and transmission electronics,antennae, and power supply, also have an important impact on timingerrors, signal quality, or group delay. While errors may be reducedthrough proper circuit design, and in particular by optimizing for freeconfigurability of the transmitter's spectrum width, and freeconfigurability of the transmitter's transmission power, a compensationunit may still be used instead of, or in addition to, optimizing circuitdesign. Since the transmission's spectral shape depends on the layout ofthe transceiver's circuit board as well as nearby external components,adjustable transmission spectral shape is another consideration to allowoptimization of the transmitter's spectral mask. In addition to thesignal's power, the performance of the localization system is alsoaffected by the quality of the signal and by the signal's group delay.This may be improved by optimizing UWB antennae to preserve theintegrity of the transmitted signals and in particular to maintain thesharp pulse profile used to transmit data. The design may be furtheroptimized for specific applications by choosing onboard antennaconnections that allow easy evaluation of different antenna options,creating distributed antennas to increase transmission range, designingsystems with multiple antennae to increase throughput and receptionreliability, optimizing the antenna's efficiency at transformingelectromagnetic waves into electrical current and vice versa to reducethe system's power consumption, optimizing for low cost manufacturing(e.g., printing), which allows evaluation of a wide range of designoptions, and comparing the performance of directional andomni-directional antennae to optimize for the specific use case.Moreover, the design may be improved by selecting amplifiers and furthercomponents that are optimized for low noise and high thermal stability.Corresponding data related to the computation of compensation values maybe determined as a function of properties of the above systemcomponents, e.g., as part of a calibration routine or during use, andimproved using assumptions (e.g., models, data from spec sheets) orusing data from further system components (e.g., calibration data storedin a memory) as outlined above.

In some embodiments, the compensation unit may use data from a memory ormay infer data related to compensation values from past observations.For example, a compensation unit may compare data related to an UWBsignal traveling between a self-localizing apparatus and a firsttransceiver with data related to an UWB signal traveling between aself-localizing apparatus and a second transceiver to compute an antennadelay associated with the self-localizing apparatus. As another example,a compensation unit may compare data related to multiple UWB signalstraveling between multiple transceivers to compute idiosyncratic delaysfor each transceiver. As another example, a compensation unit maycompare data related to UWB signals traveling between a self-localizingapparatus and multiple transceivers with data from a localization unitto compute idiosyncratic delays. As another example, a compensation unitmay compare data related to UWB signals traveling between aself-localizing apparatus and a transceiver at a first point in time orat a first location with data related to UWB signals traveling between aself-localizing apparatus and a transceiver at a second point in time orat a second location to compute idiosyncratic delays. In someembodiments, similar comparisons may be used to allow the compensationunit to compute other compensations, including those listed in earlierexamples.

Strategies similar to those outlined above for the compensation unit andUWB signals may also be used by the synchronization unit or for UWBclock synchronization signals.

It will be understood that while compensation and various aspectsthereof are sometimes explained for signals travelling between anapparatus and a transceiver, explanations may be equally valid, andanalogously used, for signals travelling between two apparatuses or twotransceivers.

A control unit is used to generate control signals for actuators independence of data received from a localization unit (e.g., a positionestimate) or of sensors (e.g., an onboard sensor) or of a globalproperty (e.g., an atmospheric pressure).

The control unit can implement control laws that are well-established inthe prior art or widely used. Examples of such control laws include PIDcontrol; model predictive control; sliding mode control; full statefeedback; and backstepping control. Depending on the control law, thecontrol unit may use state estimates provided by a localization unit.

A control unit may compute control signals for a single actuator. Insome embodiments, a control unit computes different sets of controlsignals for different sets of actuators. For example, a control unit maycompute a first set of control signals for two actuators of a firstmodule or axis of a robot and a second set of control signals for asecond module or axis of a robot.

Actuators may belong to the group of electric, magnetic, and mechanicalmotors moving or controlling a mechanism or system. Examples include apiezoelectric actuator, a brushless electric motor, and a servo motor.

In some embodiments, the apparatus' actuator is configured to move theapparatus in its three translational degrees of freedom. In someembodiments, the actuator is configured to move the apparatus in itsthree rotational degrees of freedom. In some embodiments, the actuatoris structured and arranged to move a part of the apparatus, such as theantenna or an effector. In some embodiments, multiple actuators are usedin conjunction.

In some embodiments, the apparatus' actuator is configured to move theapparatus' position by at least 30 cm. In some embodiments, theapparatus' actuator is structured and arranged to move the apparatus'position by at least 100 cm. In some embodiments, the apparatus'actuator is structured and arranged to move the apparatus' rotation byat least 30 degrees. In some embodiments, the apparatus' actuator isstructured and arranged to move the apparatus' rotation by at least 90degrees.

FIG. 1A shows a block diagram of an illustrative localization system 100(sometimes referred to herein as a “network”) that includes threetransceivers 110 and two self-localizing apparatuses 130. Each of thethree transceivers 110 transmits timestampable localization signals 102.In some embodiments, the three stationary transceivers 110 have knownrelative locations to each other. In some embodiments, the threetransceivers 110 have synchronized clocks 300. Transceivers aresometimes referred to herein as “anchors” or “beacons”. It will beunderstood that while three transceivers and two self-localizingapparatuses are illustrated in FIG. 1A, any suitable numbers oftransceivers and self-localizing apparatuses may be used in localizationsystem 100.

The two mobile self-localizing apparatuses 130 receive the timestampablesignals 102. Each mobile self-localizing apparatus 130 may use signals102 to compute its location relative to transceivers 110. In someembodiments, this is achieved by timestamping the signals 102,converting the timestamps to distances, and using these distances tocompute the relative location. This conversion can use an estimation ofthe speed of the signals 102 in the transmission medium (e.g., the speedof light in air). This conversion may be accomplished using alocalization unit 152. Localization unit 152 may compute theself-localizing apparatus' location relative to the known locations oftransceivers 110 by trilateration or multilateration. Sufficientlyaccurate timestamping may be provided by digital reception electronics148 and a clock 300.

Each transceiver 110 in FIG. 1A comprises analog electronic componentsand digital electronic components. An antenna 112 is coupled to analogtransmission electronics 116. Analog transmission electronics 116 maygenerate an analog transmission signal from at least one digital datapacket. Digital data packets are provided by digital transmissionelectronics 118. The analog transmission signal can be generated usingan analog pulse generator. The analog transmission signal may also beamplified by an amplifier before being passed to antenna 112 fortransmission.

In FIG. 1A, transmission electronics 116, 118 are used to convertpayload data (sometimes called “payload”) into signals 102 that may thenbe transmitted by transmitters 110. Here, an UWB signal 102 is used. Asingle UWB signal 102 transmitted by a single transceiver 110 can bereceived by a plurality of apparatuses 130. Each apparatus may useinformation gained from multiple signals 102 to compute its locationwithout emitting signals of its own.

Clock 300 is coupled to transmission electronics 116, 118 and providestiming information for transmitting UWB signals 102. Clock 300 mayinclude an onboard clock or may have a wireless or wired connection (notshown) that receives a time information from an offboard clock (notshown), e.g., at a remote location.

Transmissions (e.g., the UWB signals 102) from three transceivers 110may be coordinated using a scheduling unit 150, which is operable toschedule the transmission of UWB signals 102. Scheduling unit 150 mayprovide sufficient time separation between UWB signals to preventtransceiver messages from arriving at a receiver's antenna 132 withoutadequate time separation, which can result in degraded signal detectionand hence reduced performance of localization system 100. In someembodiments, scheduling unit 150 may implement an ALOHA protocol toreduce or prevent the effect of insufficient time separation. In someembodiments, signal transmission may follow a pre-programmed sequence,or scheduling may be performed centrally and a schedule communicated toeach transceiver. In some embodiments, scheduling may be performed byeach transceiver. For example, the scheduling for a transceiver may bebased on information stored by the transceiver about the othertransceivers (e.g., an ordered list or a broadcast schedule of the othertransceivers in range).

Analog transmission electronics 116 is coupled to digital transmissionelectronics 118 and together they allow the transmission of UWB signals102. Such transmissions may be performed such that the transmission ofsignal 102 from antenna 112 occurs accurately at a specifiedtransmission time relative to clock 300. This can be achieved usingdigital transmission electronics 118. Digital transmission electronics118 may coordinate its operation with scheduling unit 150. Thetransmission of a signal at a specified time is preferably performedsuch that a specific symbol is emitted from the antenna 112 at thespecified time. For transmissions that follow the IEEE 802.15.4standard, a common choice for the symbol to be transmitted at that timeis the beginning of the start-of-frame delimiter, i.e., the point atwhich the transmitted signal changes from the repeated transmission ofthe preamble code to the transmission of the start-of-frame delimiter.Digital transmission electronics 118 may use the signal provided by theclock 300 as a reference in this transmission at said specified time;the transmission time can therefore be expressed relative to this clock.

The two self-localizing apparatuses 130 shown in FIG. 1A are eachconfigured to receive the UWB radio signals 102 transmitted bytransceivers 110 through an antenna 132, analog reception electronics136, and digital reception electronics 148. The reception electronics136, 148 may accurately determine the reception times at which thetransmitted signals reach the antenna 132. Determining a signal'sreception time (“timestamping”) may be carried out by determining thetime at which a symbol is detected. For transmissions that follow theIEEE 802.15.4 standard, a common choice for the symbol to be timestampedis the beginning of the start-of-frame delimiter (i.e., the point atwhich the transmitted signal changes from the repeated transmission of apreamble code to the transmission of the start-of-frame delimiter).Digital reception electronics 148 uses a signal provided by theapparatus' clock 300 as a reference in this timestamping process. Thetimestamp may be therefore expressed relative to this clock. In someembodiments, clock 300 comprises an onboard clock. Reception electronics136, 148 may also provide additional metrics related to received signals102. Quality metrics may, for example, include signal strength,reception time standard deviation, or noise properties of the signal.Quality metrics may be computed based on absolute values (e.g., anabsolute signal strength) or based on relative values (e.g., adifference of signal strengths). Quality metrics may also be computed bycomparing signals. For example, quality metrics may be computed based oncomparisons of a signal over time, on comparisons between signals fromdifferent transceivers, on comparisons of signals received fromdifferent directions, on comparisons of signals with thresholds, oncomparisons of signals with their expected property, and others.Comparisons may use individual signal properties (e.g., the peak power)or entire signals (e.g., the signal's spectral shapes). Quality metricsmay, for example, be used to determine whether a signal 102 travelled inline of sight, or what material it may have traversed, or how it mayhave been reflected.

Each apparatus 130 may further comprise a global property sensor 158.Global properties may allow a more accurate computation of the relativelocation of a self-localizing apparatus 130 by providing additionalreference data with respect to a reference point (e.g., a transceiver ora coordinate system). This can be achieved by equipping at least onetransceiver 110 and a self-localizing apparatus 130 to detect the globalproperty. The localization system's accuracy may be improved by a methodcomprising the steps of: (i) transmitting a transceiver's globalproperty reading to an apparatus, by (ii) comparing the transceiver'sreading of the global property at its location and the apparatus'reading of the global property at its location, by (iii) using a modelof the global property (“global property model”) to translate thecomparison into data related to an orientation, position, or movement,and (iv) appropriately fusing that data with other sensor data by usingan estimator. Steps (ii) and (iii) may be accomplished using alocalization unit 152, such as the one shown as part of apparatus 130 inFIG. 1A. Global property models allow conversion of one or more readingsof the global property into data that can be processed by thelocalization system (e.g., the equation describing atmospheric pressureas a function of altitude/height). Models can take various forms, suchas functions or look-up tables.

The use of data from one or more global property sensors 156, 158 inaddition to other data provided by the localization system 100 such asdata from local, onboard sensors 155, may be particularly useful in thepresence of systematic sensor errors or sensors with a high noise rate.For example, in an exemplary embodiment for an outdoor installation, anapparatus and multiple transceivers may be equipped to receive GPSsignals in addition to UWB signals 102. This may allow the apparatus tonot only determine its position relative to the transceivers, but alsorelative to a global reference frame using a localization unit 152.Additionally, this combination of localization modalities may allowdetection of erroneous data by comparing readings from two independentmeasurement systems. The localization system may be further improved byequipping the transceivers and the apparatus with additional sensors156, 158 to detect global properties, such as barometers. This may beparticularly useful to allow a localization unit 152 to achieve moreaccurate, more reliable, or faster localization in the verticaldirection, for which both GPS and UWB may provide poorer informationbecause of unfavorable positioning of UWB transceivers (often all on theground plane, below apparatuses) and GPS satellites (high in the sky,typically high above apparatuses).

Global signals may also be used to determine the relative orientation ofa communicating transceiver's antenna 112 and a receiver's antenna 132,which can have an important influence on signal quality or group delayand hence on their computed relative location. Determining orientationcan, for example, be achieved by detecting the gravity vector of thetransceiver (e.g., using an accelerometer), communicating thisinformation to the apparatus (e.g., as part of the payload of the UWBsignal), and comparing it with the gravity vector detected by theapparatus (possibly corrected for the influence of apparatus' motion)using a model for each of the transceiver's and apparatus' antennaorientation relative to their accelerometer. This comparison can beperformed by a compensation unit.

In addition to using a sensor for a global property 158 as outlinedabove, each self-localizing apparatus may also be equipped with anonboard sensor 155.

Localization unit 152 uses data to compute a location estimate. Data mayinclude UWB signals 102, data from one or more onboard sensors 155, datafrom one or more offboard sensors 156, data from one or more globalproperty sensors 156, 158, or other data. Data related to UWB signals102 may include payload, timestamps, signal characteristics (e.g.,signal strength, peak shape, etc.), or others. This may be achieved bycomputing an estimate of the position (and, possibly, orientation ormotion) of the apparatus 130 based on fusing current values of the dataand other information (e.g., knowledge of input history, a dynamic modelof the apparatus) using an estimator.

Each individual received UWB signal 102 may be used recursively toprovide an updated (posterior) position estimate by merging it with aprevious (prior) estimate. In some embodiments, (extended) KalmanFilters, complementary filters, particle filters, Luenberger observers,or any other suitable technique can be used to recursively compute anestimate.

The localization unit 152 may collect several UWB signal receptions bystoring them in memory and batch-processing them (either after receivinga predefined number of signals, or at fixed intervals). Batch-processingmethods may be based on multilateration techniques by solving the timedifference of arrival (TDOA) measures for the position of the apparatus130.

In some embodiments, a combination of recursive and batch processing maybe used.

A memory unit (not shown in FIG. 1A) may be used to store information,such as received UWB signals 102, for batch processing, the currentlocation estimate, or parameters for the recursive computation andsensor fusion. Localization unit 152 may also use data (e.g.,compensation values) from a compensation unit (not shown in FIG. 1A) orinformation about received UWB signals 102 generated by the digitalreception electronics 148 (e.g., quality metrics).

A reason for variation in signal quality or group delay may be thattransceivers and apparatuses are small and may operate in relativeproximity to each other. This may result in a large variety of relativeorientations, relative distances, and relative directions of transmitterantenna 112 to receiver antenna 132 used in a typical application andencountered during typical use, such as multiple transceivers situatedon a plane with apparatuses operating above or below the plane, ormultiple transceivers situated around a volume with apparatusesoperating inside the convex hull of the volume.

Unlike in other localization systems, here signals 102 arriving at theapparatus can be of varying quality or can have different group delay.In some embodiments, localization unit 152 may be used to improve thelocation estimate over prior localization systems by using specifics ofUWB signals as well as quality metrics related to the received UWBsignal, such as those provided by reception components (e.g., UWB peaksignal strength, UWB peak shape). This may, for example, be achieved byrelating the measurement variance to a signal metric such thatmeasurements with higher variance have a lower impact on thelocalization unit's state estimate. As another example, the localizationunit may put more emphasis on data that is independent of the UWB signal(e.g., inertial sensors, global properties). As another example, thelocalization unit may entirely discard measurements from certaintransceivers that do not meet a quality metric such as a minimum signalquality or group delay.

Unlike prior systems, localization unit 152 may here be situated onapparatus 130 because the UWB signals travelling from the transceiversto the apparatus can contain enough information to allow the apparatusto self-localize. For example, transceivers may be synchronized andtheir locations may be known to the apparatus.

A transceiver's position, orientation, or motion may change during use.Localization unit 152 may account for such changes. As outlined above,in some embodiments, transceivers in the network are assumed to haveknown locations. A change in these locations, such as that caused by anaccidental movement of a single transceiver, may reduce localizationperformance. This may be avoided by equipping a transceiver 110 with asensor (not shown) operable to detect such an accidental movement, suchas an accelerometer. The transceiver may then monitor the sensorreadings and, if it passes a certain threshold, communicate it to alocalization unit (e.g., by transmitting the corresponding informationas part of the transceiver's UWB signal 102). The localization unit canthen correct for this change in the transceiver's position, orientation,or motion, e.g., by discarding measurements of the concerned transceiverfor a period of time or by putting less emphasis on them as describedabove. A localization system may also detect this type of disturbance byequipping a transceiver to monitor its own location (e.g., by recordingits location in a memory and by regularly re-evaluating its location,e.g., by rerunning a transceiver position calibration).

During typical use an apparatus 130 may operate close to and move aroundobstacles in the space. Localization unit 152 may account for that andother known factors affecting the quality of information furnished by anindividual transceiver. For example, localization unit 152 may use a mapof the relative location of transceivers and obstacles and an estimateof the apparatus' location in a space to determine that an UWB signaltraveling from a certain transceiver to the apparatus has likely passedthrough an obstacle or been reflected. It may then use this informationto correct its estimate of the location as described above, possiblytaking into account further information such as the obstacle'sproperties (e.g., thickness, material, or shape of the obstacle).

The localization system may use approaches like multilateration ortrilateration, which result in different sensitivity to measurementnoise based on the spatial distribution of transceivers and the locationof the apparatus. Localization unit 152 may account for the variation inthe quality of information furnished by individual transceivers byaccounting for their spatial distribution and correct its estimate ofthe location as outlined above by accounting for known topologies of thetransceivers' or apparatus' relative locations or orientations (e.g.,during position calibration and stored in a memory). Even partialknowledge, such as the antenna orientations of a subset of transceivers(e.g., as determined by transceivers' sensors and communicated tolocalization unit 152), may be valuable and may be used to improveestimates. Moreover, assumptions, such as assuming that all transceiversare positioned in a plane or that all transceivers are stationary, maysignificantly improve localization accuracy by providing additionalconstraints for data processing. Such prior knowledge, even if partialor very approximate, may be used to initialize the localization unit(e.g., to provide a prior for a localization unit's initial positionestimate). Moreover, a global property detected by global propertysensors 156 on multiple transceivers 110 may be used to improvelocalization accuracy by providing additional information for dataprocessing.

In addition, accuracy of estimates computed by localization unit 152 maybe significantly improved by sharing information between multipletransmitters or apparatuses. For example, obtaining ranging estimatesfrom more than four transceivers at a self-localizing apparatus resultsin an over-determined system, which allows the self-localizing apparatusto significantly reduce localization error, e.g., by solving for aleast-squares solution. As another example, multiple apparatuses mayexchange or pool their data to improve their estimates in specificregions of the space or at specific times during their operation.

Global property sensors 156, 158 may further improve localization unit's152 performance by providing additional data available at bothtransceivers 110 and apparatus 130.

Localization unit 152 may provide various outputs (e.g., positions,velocities) in various formats. In some embodiments, it outputs positionand heading information in the NMEA 0183 format (a standard format usedfor GPS receivers).

FIG. 1B is a block diagram of illustrative transceivers 110 inaccordance with some embodiments of the present disclosure. Each oftransceivers 110 may include an antenna 112 that is coupled to bothanalog transmission electronics 116 and analog reception electronics160. Some embodiments, a TX/RX-switch is used to connect the antenna toone or the other of electronics 116, 160. In some embodiments,transceivers 110 may be used in localization system 100 of FIG. 1A.

Analog reception electronics 160 is coupled to digital receptionelectronics 164 and together they allow the reception of UWB signals 102transmitted by other transceivers 110. Analog and digital receptionelectronics 160, 164 may have similar capabilities to the ones onself-localizing apparatus 130 of FIG. 1A. For example, analog anddigital reception electronics 160, 164 may convert UWB signals 102 intodata (the payload), accurately determine the time at which thetransmitted signal reached antenna 132, and may provide additionalquality metrics related to received signal 102 such as signal strength,reception time standard deviation, and metrics for determining whetherthe signal travelled in line of sight or not, among others.

Digital reception electronics 164 are operationally coupled to asynchronization unit 174, which may be used to identify and compensatefor a clock 300 of any one transceiver not running in perfect synchronywith the clocks of the other transceivers. Upon reception of an UWBradio signal, the received data, timestamp, and quality metrics are sentto synchronization unit 174. Synchronization unit 174 may compare thereception time stamp to previous reception time stamps, to transmissiontime information included in the data (payload) of the UWB transmission102, and to transmission time information included in previous UWBtransmissions 102. From this information, synchronization unit 174 maycompute the current behavior of clock 300 such as, for example, itscurrent clock rate, or the current rate of change of the clock rate. Inaddition, synchronization unit 174 may determine the time-of-flight ofUWB signals between stationary transceivers by evaluating thediscrepancy between locally measured reception timestamps, locally settransmission times, measured reception timestamps reported from othertransceivers, and set transmission times of other transceivers. Throughcareful correction for errors such as differing clock offsets, clockrates, and signal propagation times, synchronization unit 174 maycompute a correction to allow the transceivers to obtain a common,synchronized reference time. In some embodiments, synchronization usesUWB signals 104.

Time synchronization between the transceivers is beneficial because anyoffset in transceiver timing may translate into errors in thelocalization of the self-localizing apparatus.

Transceiver 110 of FIG. 1B may also include a sensor 154 and a globalproperty sensor 156. Both of these sensors are coupled to digitaltransmission electronics 118. This enables signals representative of themeasurements taken by sensor 154 and global property sensor 156 to beincluded in the data that is transmitted by digital transmissionelectronics 118, analog transmission electronics 116, and antenna 112 inthe form of UWB signals 102.

In some embodiments, a sensor 154 or a global property sensor 156 may beused to sense a transceiver's orientation. With knowledge of thetransceiver's orientation, a self-localizing apparatus (e.g., apparatus130) that receives that receives an UWB signal from that transceiver maybe able to compensate for signal delays introduced by the relativeorientation of the transceiver's antenna 112 to the self-localizingapparatus' antenna (e.g., antenna 132). This may, for example, beachieved by communicating the transceiver's detected orientation as partof its transmitted UWB signal. In FIG. 6 and FIGS. 9A and 9B, delaysintroduced by the relative orientation of antennas 112 and 132 arefurther described, and a method for compensating these delays isdescribed.

Each transceiver 110 may be equipped with memory 170, which may be usedto store data such as configuration data, desired signal amplification,synchronization data (e.g., offsets or rate corrections for clocks), orrange accuracy calibration data. Memory 170 may also be used to bufferdata after reception and before transmission. In some embodiments,memory 170 can be rewritten multiple times or is non-volatile memory.

The illustrative transceiver shown in FIG. 1B may also include aposition calibration unit 180. Position calibration unit 180 may be usedto compute an estimate for the position of a transceiver 110 (e.g., thetransceiver's location relative to other transceivers). This may, forexample, be achieved using techniques similar to those that may be usedby a localization unit 152. For example, position calibration unit 180may fuse data from an onboard sensor 154 and an onboard global propertysensor 156 (connection not shown in FIG. 1B) with data from its memory170 and with data from other transceivers received via the digitalreception electronics 164 to obtain a position estimate. The computedposition estimate may then be stored in a memory 170. It may also becommunicated to other transceivers 110 or self-localizing apparatuses(e.g., apparatus 130 of FIG. 1A), e.g., as part of a signal sent throughdigital transmission electronics 118.

FIG. 1B shows illustrative transceivers that receive and processwireless signals 104 from other transceivers (sometimes referred toherein as “wireless transceivers” or “wireless UWB transceivers”). Thisis enabled by transceivers 110 having analog reception electronics 160and digital reception electronics 164, which are operable to receivesignals 104 transmitted by other transceivers 110.

A first transceiver 110 may use one or more signals 104 from a secondtransceiver 110 or from a plurality of other transceivers 110 to adjustits transmission schedule to, e.g., provide better time separationbetween transmissions. This may, e.g., be achieved by scheduling unit150 storing in a memory 170 the times at which signals 104 were receivedfrom other transceivers 110 in the network (e.g., network 100 of FIG.1A), and subsequently adjusting the local transmission schedule based onthese times. In some embodiments, better time separation betweentransmissions results in reduced interference between signals 102 or104. In some embodiments, measurement of the time separation betweensignals 102 may be a metric used for assessing or when improving theperformance of a localization network 100.

In some embodiments, signals 104 may be used by a transceiver 110 toindicate the occurrence of an event. In some embodiments, signals 104may be used by a transceiver 110 to trigger an action by othertransceivers 110. In some embodiments, the action results in thescheduling of signals 102. In some embodiments, dynamic transmissionscheduling may be used to react to the addition or removal oftransceivers from the system, as further explained below. In someembodiments, the reaction of the localization network (e.g., network 100of FIG. 1A) to the addition or removal (e.g., due to a fault) oftransceivers may be used as a metric to assess the robustness of thenetwork.

In some embodiments, the ability of transceivers 110 to receive signals104 from other transceivers enables the transceivers' positioncalibration units 180 to compute the distances between transceivers 110.In some embodiments, this may be used to define a coordinate system andtransceiver locations relative to this coordinate system. In someembodiments, a coordinate system may be defined manually. For example,an operator may select an origin, a direction of a positive x-axis, anda direction of a positive y-axis for a visualization of known relativelocations of a transceiver network. In some embodiments, a coordinatesystem may be defined based on the transceivers' locations. For example,a first transceiver may define the origin, a second transceiver thedirection of the positive x-axis, and a third transceiver the directionof the positive y direction. In some embodiments, a coordinate systemmay be defined by entering the (x, y, z) positions of transceivers forstorage in a memory. In some embodiments, the accuracy with which atransceiver network can compute distances between anchors may be used asa metric to assess the performance of the network.

In some embodiments, signals 104 may be the same signals used byself-localizing apparatuses (e.g., signals 102). In some embodiments,signals 104 may be in some way different from signals 102. For example,signals 102 and signals 104 may have a different payload. In someembodiments, signals 104 may be transmitted at different times thansignals 102. For example, signals 104 may be transmitted duringinstallation or during a calibration phase of a localization system, andsignals 102 may be emitted when the system is in operation. Signals 104and 102 may also differ in further ways (e.g., their signal strength,preamble, etc.). In some embodiments, the use of signals 102 and signals104 may differ. For example, transceivers may emit signals 102 at adifferent update rate from that used with signals 104, or the signalemission may follow a different schedule.

FIGS. 3 and 4 are block diagrams illustrating different systemarchitectures that allow transceivers to synchronize the transmission oftheir UWB signals 102 in accordance with some embodiments of the presentdisclosure. The system architectures of FIGS. 3 and 4 may be used, forexample, in system 100 of FIG. 1A.

FIG. 3 shows transceivers 110 that use a single, shared clock 300 andthat are each equipped with their own scheduling unit 150.Alternatively, transceivers 110 may be configured to share a singleclock 300 and a single scheduling unit 150 (not shown). This may beachieved by connecting a single clock and scheduling unit to eachtransceiver's digital transmission electronics 118.

FIG. 4 shows a different topology, with transceivers 110 each usingtheir own clocks 300 and scheduling units 150. Here, an externalsynchronization signal 304, received by each transceiver'ssynchronization unit 174, is used to synchronize the transmission timesof the transceivers' UWB signals.

Scheduling unit 150 determines the times at which UWB signals aretransmitted by digital transmission electronics 118, analog transmissionelectronics 116, and antenna 112. The purpose of scheduling unit 150 isto schedule signal transmissions in such a fashion that collisionsbetween signals from different stationary transceivers 110 are avoidedas much as possible. For this purpose, a scheduling unit 150 mayexchange information with a synchronization unit 174. This informationis typically two-fold: Firstly, scheduling unit 150 may report at whattimes messages are being transmitted to the synchronization unit 174.Secondly, scheduling unit 150 may rely on information from thesynchronization unit 174 about the synchronized reference time. Inaddition, scheduling unit 150 may be operationally connected to a memory(e.g., memory 170 depicted in FIG. 1B), which may provide informationabout the scheduling scheme and parameters that the scheduling unitrequires to determine transmission times. Examples of scheduling schemesthat scheduling unit 150 may implement are random access RA schemes,where transmission times are chosen randomly from a fixed distribution,and time division multiple access (TDMA) schemes, where individualtransceivers are allocated certain transmission times. In schemes wherethe transmission times depend on signals from other transceivers,scheduling unit 150 would typically also be connected to digitalreception electronics (e.g., digital reception electronics 164 depictedin FIG. 1B) in order to receive data from UWB transmissions of othertransceivers.

In some embodiments, a fully distributed topology, where everytransceiver contains a clock, a synchronization unit, and a schedulingunit, is used. In some embodiments, other topologies are used. In someembodiments, centralized topologies are used. For example, the topologyshown in FIG. 3 depicts several transceivers sharing a single clock 300.In such a configuration, the system may be operated withoutsynchronization units. Because the transceivers share the same singleclock, they may be physically synchronized for example, by ensuring thatthe cable lengths the clock signal travels to individual transceiversare identical or their clock rates are given to be identical. Similarly,when each transmitter incudes a clock, the clock synchronization mayalso be achieved by coupling synchronization unit 174 to a centralsynchronization signal 304 which provides a synchronization referencesuch as, for example, a low-frequency pulse signal to allsynchronization units, as shown in FIG. 4. In addition, the individualscheduling units of the transceivers may be replaced by a single,central scheduling unit that centrally determines the transmission timesfor several anchors, as explained above. In some of the topologies, thetransceivers may not include reception electronics because they do notrequire information transmitted from other transceivers.

In some embodiments, transceivers 110 may be connected in various wiredor wireless communication topologies known in the art (mesh, P2P, etc.).In some embodiments, transceivers may communicate information related tothe system's operation, such as positions, clock rates, clock offsets,signal shape, signal strength, synchronization, or calibration messagesto each other or to receiving apparatuses.

FIG. 5 is a block diagram of an illustrative self-localizing apparatus130 in accordance with some embodiments of the present disclosure.Self-localizing apparatus 130 comprises an antenna 132 for receiving UWBsignals 102. Antenna 132 is operationally coupled to analog receptionelectronics 136, which may amplify the signal. Digital receptionelectronics 148 may then be used to timestamp the signal in reference toclock 300. A synchronization unit 174 may compare an input from clock300 to inputs from other clocks (e.g., received as part of asynchronization signal or message from another part of the localizationsystem and received by the digital reception electronics 148).Synchronization unit 174 may use this information to compute a clockcorrection for a clock rate or a clock offset, which it may communicateto localization unit 152 or compensation unit 500, or store in a memory171. Additionally, information from compensation unit 500 may be used.

FIG. 6 is an illustrative timing diagram, which depicts the propagationof a received UWB signal through a self-localizing apparatus' antenna132, analog reception electronics 136, and digital reception electronics148 in accordance with some embodiments of the present disclosure. Theinterconnection of these components will be referred to as the receptionpipeline. Each of these components introduces a delay to the propagationof the received signal. Time is shown on the vertical axis, where thenotation _(A)t is used to indicate that time t is measured withreference to the clock of self-localizing apparatus A.

Considering a signal that arrives at time _(A)t₀ ^(Rx) 602 at antenna132 of a self-localizing apparatus, the signal propagates through thereception pipeline, before its arrival is timestamped at time _(A)t₀ 606by digital reception electronics 148. The delay introduced by thepipeline (given by the difference between _(A)t₀ 606 and _(A)t₀ ^(Rx)602) is denoted _(A)δ₀ 604 and is referred to as pipeline delay.Consider now a second signal that arrives at time _(A)t₁ ^(Rx) 612 atantenna 132 of the self-localizing apparatus and, after a pipeline delayof _(A)δ₁ 614 through the reception pipeline, is timestamped at time_(A)t₁ 616. The variation in pipeline delay between the two signals isgiven as |_(A)δ₁−_(A)δ₀|. Note that this measurement is with respect tothe clock of the self-localizing apparatus 130, and is thus independentof clock-rate offsets.

In some embodiments, the difference between pipeline delays 604 and 614is less than 0.01, 0.6, 3, or 15 nanoseconds, which allows more accuratelocalization to be achieved.

Variation in pipeline delay is influenced by physical, measurablefactors including the frequency response of the self-localizingapparatus' antenna 132, internal amplification and the accuracy andvariation in the generation of timestamps by digital receptionelectronics 148. Since antennas are non-ideal electromagnetic devices,their frequency response is described by a reception-angle-dependentmagnitude response corresponding to how much a radio signal is amplifiedor attenuated by the antenna, as well as a reception-angle-dependentphase response corresponding to how much a radio signal is delayed bythe antenna. These responses are deterministic functions of the angle atwhich a signal is received and result in an electrical delay of thesignal as it passes through antenna 132. In some embodiments, thesignal's propagation through the analog reception electronics 136 anddigital reception electronics 148 may be further delayed by internalamplification of the signal in order to achieve a consistent signallevel, irrespective of received signal strength. Furthermore, theability of digital reception electronics 148 to consistently andaccurately timestamp the arrival of an UWB signal requires it toconsistently and accurately identify the signal's “first-path”. Errorsin this identification, which are discussed below and illustratedfurther in FIG. 7A, result in a non-constant error in the timestampingprocess and thus a perceived delay in the signal's propagation timethrough the reception pipeline. In addition to systematic pipelinedelays, in some embodiments random, external or unmodelled processes mayalso affect the pipeline delay, introducing non-systematic delays in thereception pipeline. In some embodiments, temperature is an example ofsuch a process, whereby changes in temperature may influence theprocessing time required by digital reception electronics 148.

The effect of a non-constant pipeline delay is the introduction ofnon-constant error in the reception time of any UWB signal 102. It willtherefore be apparent to one skilled in the art that a non-constantpipeline delay, as illustrated in FIG. 6, may correspond to anon-constant error in any time-of-arrival or time-distance-of-arrivalmeasurement derived from the reception times of any UWB signals 102. Acompensation unit 500 may, in some embodiments, compensate for thissystematic, yet non-constant error, as illustrated in FIGS. 9A and 9Band discussed below.

FIG. 7A shows illustrative plots of channel impulse responses (CIR) of achannel through which an UWB signal 102 is received, with signal power Eplotted against signal time delay t. A channel (sometimes referred to asa transmission channel) is a specific combination of frequency andbandwidth. For an UWB signal 102, the frequency is typically the centeror carrier frequency. In the upper plot of FIG. 7A, CIR 700 is welldefined and narrow in width. Furthermore, the noise floor 702, aproperty of the transmission channel, is low in comparison to the peakof the CIR 700. These features allow digital reception electronics(e.g., digital reception electronics 148, 164) to accurately andprecisely detect the first path.

In the lower plot of FIG. 7A, CIR 700 is “wide” and not well defined.Furthermore, CIR 700 is less distinct from the noise floor 702. Thesefeatures reduce the accuracy of the timestamping process, as performedby the digital reception electronics (e.g., digital receptionelectronics 148, 164). Such a CIR is typical for UWB signals that havepassed through an obstacle or that have been subjected to a disturbance.Examples of obstacles include any medium that absorbs, distorts,disperses, or refracts the signal. Examples of disturbances include anyother signal that interferes with the UWB signal. In some embodiments, acompensation unit (e.g., compensation unit 500) may partially or fullycompensate for obstacles or disturbances due to the properties of thereceived signal.

The ability of the digital reception electronics (e.g., digitalreception electronics 148, 164) to consistently and accurately timestampUWB signals requires it to consistently and accurately identify the timeat which the received signal's “first path” occurs. Multiple algorithmsfor this purpose are known, for example, “Leading Edge Detection” or“Search-Back”.

In some embodiments, the accuracy of identifying this “first path”, andthus the accuracy of the timestamping process, may be dependent on thestrength of a signal received at an antenna (e.g., antenna 112, 132).The accuracy of timestamping may be affected by the ratio between thesignal's strength and the level of noise floor 702, sometimes called asignal-to-noise ratio. A lower signal-to-noise ratio may result in aless defined peak in CIR 700. In some cases, the reception timestamp maybe affected by geometric walking error, whereby the timestamp of aweaker signal is delayed in comparison to the timestamp of a strongersignal. Moreover, the accuracy of timestamping may depend on the shapeof the CIR of the received signal.

FIG. 7B shows an illustrative structure of an UWB signal 102 inaccordance with some embodiments of the present disclosure. In someembodiments, the structure of UWB signal 102 is similar to that definedin IEEE standard 802.15.4. The same standard describes other aspects ofUWB systems, such as the signal transmission process. The transmissionof an UWB signal 102 begins a time t_(start) 722 with the transmissionof a preamble sequence 710. This sequence is typically predefined andknown to both the transmitter (e.g., a transceiver 110) and receiver(e.g., a self-localizing apparatus 130) of UWB signal 102. In someembodiments, a preamble sequence 710 may be stored in memory. In someembodiments, a preamble sequence 710 may be configurable during systemoperation. In some embodiments, a preamble sequence 710 may be encodedby the interconnection of digital or analog electronic components.

In some embodiments, preamble 710 defines a sequence in which UWB radiopulses are transmitted on a specific transmission channel and with aspecific rate. This rate may sometimes be referred to as the pulserepetition frequency. The pulse repetition frequency is typically knownto both the transmitter and receiver of an UWB signal 102. In someembodiments, the pulse repetition frequency may be stored in memory. Insome embodiments, the pulse repetition frequency may be configurableduring system operation. In some embodiments, the pulse repetitionfrequency may be encoded by the interconnection of digital or analogcomponents.

A receiver is typically capable of receiving an UWB signal 102 if it isconfigured to operate on the same channel, with the same preamblesequence 710, and with the same pulse repetition frequency as thetransmitter of said UWB signal 102. In some embodiments, this may beachieved through appropriate configuration of the receiver's analogreception electronics (e.g., analog reception electronics 136) ordigital reception electronics (e.g., digital reception electronics 148)or of the transmitter's analog transmission electronics (e.g.,transmitter's analog transmission electronics 116) or digitaltransmission electronics (e.g., digital transmission electronics 118).In some embodiments, appropriate selection of channel or preamble 710 orpulse repetition frequency may enable receivers to receive UWB signals102 from a specific subset of transmitters. In some embodiments,appropriate selection of channel or preamble 710 or pulse repetitionfrequency may enable transmitters to transmit UWB signals 102 to aspecific subset of receivers. In some embodiments, appropriate selectionof channel or preamble 710 or pulse repetition frequency may allowmultiple UWB signals 102 to be transmitted simultaneously, with reducedinterference or with no interference.

After transmission of the preamble 710, the transmitter transmits astart frame delimiter 712, to indicate the beginning of the UWB signal'sdata portion. After transmission of the start frame delimiter 712, thetransmitter transmits a physical-layer header (PHR) 714, containinginformation pertaining to the encoding of the UWB signal's payload 716(e.g., data rate). After transmission of physical header 714, the UWBsignal's payload 716 is transmitted. In some embodiments, the payload isempty. In some embodiments, the payload contains information from aglobal property sensor 156. In some embodiments, payload 716 containsinformation from a position calibration unit 180. In some embodiments,the payload 716 contains information to facilitate synchronization by asynchronization unit (e.g., a synchronization unit 174). In someembodiments, payload 716 contains information to enable the schedulingof future transmissions by a scheduling unit (e.g., scheduling unit150). In some embodiments, payload 716 contains information pertainingto prior transmitted or received UWB signals (e.g., UWB signals 102 or104). In some embodiments, payload 716 contains other information. Insome embodiments, payload 716 may contain multiple pieces ofinformation. In some embodiments, payload 716 contains error-checkinginformation that may be used to evaluate the integrity of the receivedpayload 716. Transmission of UWB signal 102 ends at time t_(end) 724after transmission of the payload 716.

Through the detection and reception of an UWB signal's preamble 710, areceiver is able to detect the transmission of a start frame delimiter(SFD) 712. In some embodiments, the time at which the start framedelimiter 712 is detected is time stamped by the receiver's digitalreception electronics (e.g., digital reception electronics 148). Afterdetection of the start frame delimiter 712, the receiver is able todetect the physical header 714. Information encoded in physical header714 may be used by the receiver to decode information encoded in the UWBsignal's payload 716.

In some embodiments, payload 716 may be checked for errors. In someembodiments, payload 716 may be used within other units of the receiver.In some embodiments, payload 716 may be used to calculate a timedifference. In some embodiments, payload 716 may be used to calculate adistance. In some embodiments, payload 716 may be compared with ameasurement from the receiver's global property sensor (e.g., globalproperty sensor 158). In some embodiments, the payload may be stored ina memory (e.g., memory 170, 171).

As will be apparent to one skilled in the art, while the presentembodiments disclose a specific signal's structure similar to thatdefined in IEEE standard 802.15.4, many other signal structures areequally valid and may be used with the present disclosure.

FIG. 8 is a block diagram of an illustrative localization unit 152,which includes a location update process, in accordance with someembodiments of the present disclosure. The localization algorithmdepicted in FIG. 8 takes the form of an extended Kalman filter (EKF).Localization unit 152 may be used with any suitable apparatus 130 of thepresent disclosure. At the beginning of a cycle, localization unit 152performs a process update step 820, where it uses the previouslyestimated state of the apparatus and, if available, data from controlunit 840 that is indicative of the signal sent to one or more actuators(e.g., actuator 1004 of FIG. 10). The result of this step is a priorestimate 822 (e.g., an estimate of the current state of an apparatus 130that does not take into account any newly taken measurements). Thisprior estimate is then fused with available measurements. The priorestimate, measurements, and other data used by the localization unit 152may be temporarily stored in a memory (not shown in FIG. 8).

A first kind of measurement is the reception of an UWB signal 102. Inthis case, the timestamp of the received signal 800 is first processedby a clock correction 802 (using data from synchronization unit 174) andan effect compensation 804 (using data from compensation unit 500). Theresulting corrected time of arrival 806 represents an estimate of whenthe UWB signal reached an apparatus' antenna 132, which may then befused with the prior estimate in an EKF measurement update step.

As stated above, the resulting corrected time of arrival 806 representsan estimate of when an UWB signal 102 reached the apparatus' antenna132. In some embodiments, transmission information is included in thepayload of the received UWB signal, which represents when the signal wastransmitted and by which transceiver 110. The transmission information,together with the corrected time of arrival, is a measure for thedistance between apparatus 130 and the transceiver 110. In localizationunit 152, the corrected time of arrival and the transmission informationmay then be fused with the prior estimate in an EKF measurement updatestep 824.

A second kind of measurement, if new data is available, is datarepresentative of a local measurement of a global property (e.g., fromglobal property sensor 158). This data is then compared to datarepresentative of remote measurement(s) (provided by digital receptionelectronics 148) of that global property (e.g., from global propertysensor 158), and a global property model 814 provides information on howthis comparison relates to the location, orientation, or motion of anapparatus 130. This information may then be fused into the stateestimate in an EKF measurement update step 824. An example of a globalproperty is the signal strength of a wireless signal. The free-spacepath loss of a radio frequency signal of frequency f transmitted over adistance d is:FSPL(dB)=20 log 10(d)+20 log 10(f)+K,with K being a constant that depends on the units used for d and fThrough this equation, the distance of the self-localizing apparatus tothe source of the wireless signal may be related to the distance of thetransceiver(s) 110 to the same source.

A third kind of measurement, if new data is available, is from sensorssuch as sensors 154, 155. Such measurements may also be fused into thestate estimate in an EKF measurement update step 824.

Synchronization unit's 174 estimate of the local clock behavior and thecompensation unit's (not shown) estimate of compensation values maydepend on the estimated location computed by the localization unit 152.This dependence may be resolved by first using the prior locationestimate to compute clock behavior and compensation values, and by thencomputing a new posterior location estimate. This dependency may also beresolved by estimating the clock behavior or clock correction,compensation values, and location in parallel, or iteratively byalternating between 1) the computation of new clock behavior or clockcorrection and compensation value computation using the current locationestimate; and 2) location estimation using the current clock andcompensation values until the computed values have substantiallyconverged.

FIGS. 9A and 9B show illustrative phenomena that can affect the accuracyof an UWB range measurement in accordance with some embodiments of thepresent disclosure. In some embodiments, these phenomena are partiallyor fully compensated for by a compensation unit (e.g., compensation unit500).

FIG. 9A illustrates the compensation for a varying reception angle 900.Because physical antennas are non-ideal, electromagnetic devices, theirfrequency response is influenced by both the antenna gain (i.e., howmuch a radio signal is amplified or attenuated) as well as by theantenna phase response (i.e., how much a radio signal is delayed). Thisfrequency response varies with angle 900 at which a radio signal isreceived. Therefore, UWB signals received at angle θ₀ 900 a will beamplified and delayed differently to UWB signals received at angle θ₁900 b.

This is illustrated in FIG. 9A, which shows two stationary transceivers110 a, 110 b, and a self-localizing apparatus 130 within an environment.UWB signals 102 from transceiver 0 110 a arrive with angle θ₀ 900 a atself-localizing apparatus 130, while signals 102 from transceiver 1 110b arrive with angle θ₁ 900 b at self-localizing apparatus 130. Aspreviously discussed, the frequency response of the antenna is afunction of reception angle 900 and thus results in signals fromtransceiver 0 110 a having a different delay to signals received fromtransceiver 1 110 b. This varying signal delay causes a varying delay inthe signal timestamp and an error in the estimated distance to eachtransceiver. Being a function of reception angle, these delays aredeterministic. In some embodiments, a compensation unit may be utilizedto reduce or remove the effect of reception angle on the estimateddistance.

An illustrative compensation is shown in Plot 1 of FIG. 9A, which showsreception angle θ 900 on the x-axis and delay δ 902 on the y-axis. Thismapping allows the signal delay to be computed based on a knownreception angle θ and thus compensated for by subtracting its effectfrom the generated reception timestamp using a compensation unit (e.g.,compensation unit 500). In some embodiments, this function is amathematical expression allowing delay δ to be computed for an arbitraryreception angle θ. In some embodiments, this compensation may becomputed by means of a lookup table, where known values of receptionangle θ and delay δ are stored in a data structure (e.g., using a memory171), and interpolation is used to estimate the delay δ for an arbitraryreception angle θ (e.g., using a compensation unit 500).

In some embodiments, one may observe the effect of the antenna'sfrequency response by positioning a self-localizing apparatus 130 withinan environment covered by stationary transceivers 110, and then rotatingthe self-localizing apparatus around the origin point of its bodycoordinate system and observing a change in estimated distance to eachof the stationary transceivers 110. These observations may be measuredby apparatus 130 and used to compensate for the signal delay.

FIG. 9B illustrates further effects that may affect the accuracy ofestimated distances. Three stationary transceivers 110 and aself-localizing apparatus 130 are located within an environment. Signals102 from transceiver 0 110 a arrive at self-localizing apparatus 130with angle θ₀ 900 a, having traveled distance R₀ 904 a, while signals102 from transceiver 1 110 b arrive at self-localizing apparatus 130with angle θ₁ 900 b, having traveled distance R₁ 904 b. Here, inaddition to the delays due to relative orientation, as presented in FIG.9A, the strength of each signal 102 is inversely proportional to thesquare of the distance travelled. In FIG. 9B, the distance R₀ 904 a islarger than the distance R₁ 904 b. Thus, the signal 102 from transceiver0 110 a may be weaker when received by self-localizing apparatus 130.The signal 102 may thus have a lower signal-to-noise ratio. In someembodiments, the signal 102 will require amplification prior totimestamping. Amplification may delay the signal timestamping(“amplification delay”). In some embodiments, amplification delay may becompensated by a compensation unit (e.g., compensation unit 500). Insome embodiments, other comparable delays may also be compensated by acompensation unit. This may, for example, be used if the received signalstrength is reduced (e.g., due to low transmission power, due to thepreviously described variable antenna gain, due to obstacles, etc.).

In some embodiments, a compensation unit (e.g., compensation unit 500)may compensate for these delays as shown in Plot 2 in FIG. 9B, whichshows distance R 904 on the x-axis and delay δ 906 on the y-axis. Thismapping allows the signal delay to be calculated based on a knowndistance R, and thus compensated for by subtracting its effect from thegenerated reception timestamp. In some embodiments, this function is amathematical expression allowing delay δ to be computed for an arbitrarydistance R by the compensation unit. In some embodiments, thiscompensation may be computed by means of a lookup table, where knownvalues of distance R and delay δ are stored in a data structure (e.g.,using memory 171), and interpolation is used to estimate the delay δ foran arbitrary distance R (e.g., using compensation unit 500).

In embodiments where received signal strength can be measured by theself-localizing apparatus, this mapping may be replaced with a mappingfrom received signal strength (related to distance through the inversesquare law; and to antenna gain at reception angle θ) to the delay δ.The mapping may, for example, be stored in a memory (e.g., memory 171).In some embodiments, this compensation mapping may also consider delaysintroduced due to antenna phase response at reception angle θ.

In addition to illustrating delay due to increased distance R, FIG. 9Bfurther shows transceiver 2 110 c, positioned such that signals 102 fromtransceiver 2 110 c must propagate through some obstacle, prior toreaching self-localizing apparatus 130. Propagation through thisobstacle introduces a deterministic delay to signal 102 based on itswidth w₂ 908 c. This is due to the speed of light (and thus the speed ofUWB signal 102) varying depending upon the medium through which thesignal is propagating. Furthermore, depending on the obstacle'sconstruction (e.g., the material from which it is made), the obstaclemay reduce the strength of the signal 102 received by theself-localizing apparatus 130, or distort the received waveform. In someembodiments, a compensation unit 500 can compensate for these effects;for example, by using prior knowledge of the environment, byinterpreting the characteristics of the received signal 102, includingsignal strength, noise floor, or CIR shape (see, e.g., FIG. 7A), etc.

Consider, for example, the case where a signal 102 is transmitted bytransceiver 2 110 c and travels through a solid glass window ofthickness w₂=1 cm before being received at the antenna 132 ofself-localizing apparatus 130. Due to its density, the speed of light isapproximately 33% slower in glass than in air, and thus signal 102travels slower through the glass, resulting in a slightly delayedarrival at antenna 132 of self-localizing apparatus 130. This delayedarrival translates to an error in distance measurement. In the priorexample, for every 1 cm of glass, ˜5 mm of distance error is incurred.

In some embodiments, a compensation unit (e.g., compensation unit 500)compensates for deterministic distance errors, for example thoseexemplified in FIGS. 9A and 9B.

FIG. 10 is a block diagram of an illustrative self-localizing apparatus130 that is capable of actuation in accordance with some embodiments ofthe present disclosure. In some embodiments, apparatus 130 may beintegrated with a mobile robot (e.g., mobile robot 1100 of FIG. 11.Various system components including the localization unit 152,compensation unit 500, scheduling unit 150, synchronization unit 174,reception electronics 136, 148, transmission electronics 116, 118, andcontrol unit 840 can be used with apparatus 130 of FIG. 10. In addition,other system components, such as a data transceiver or a data accesspoint may be used (see FIG. 15). Control unit 840 computes actuatorcommands (e.g., for a mobile robot, see FIG. 11). It may implementvarious controllers (see FIG. 12).

FIG. 11 shows an illustrative mobile robot 1100 that includes aself-localizing apparatus 130 in accordance with some embodiments of thepresent disclosure. Mobile robot 1100 may also include one or moresensors (e.g., MEMS sensors and sensors 155). In some embodiments,mobile robot 1100 includes an accelerometer 1106 and a gyroscope 1104.In some embodiments, mobile robot 1100 additionally includes one or moreof magnetometers, barometers, a GPS receiver, and proprioceptive sensors(e.g., sensors to monitor battery level and motor currents). Mobilerobot 1100 as illustrated also includes actuators 1004 (e.g., fourmotors) that are used to rotate four propellers 1110 that allow themobile robot to stay airborne and to control its movement through thespace. In some embodiment, actuators 1004 are powered by a battery. Insome embodiments, transceivers or apparatuses are powered by batteries.

Self-localizing apparatus 130 of FIG. 11 may be integrated with mobilerobot's 1100 electronics. For example, apparatus 130 may have access tomobile robot's 1100 sensors (e.g., sensor 155, accelerometer 1106, andgyroscope 1104). This may, for example, be useful or convenient toachieve a certain weight distribution on a flying robot, to allow forbetter antenna reception, or to co-locate related electronic components.

Depending on the application, flight electronics may be more complexthan the embodiments described here and may, e.g., comprise multipleelectronic processing units, multiple antennas, or multipleself-localizing apparatuses.

FIG. 12 is a block diagram of an illustrative control unit 840 that maybe used, for example, with mobile robot 1100 of FIG. 11 in accordancewith some embodiments of the present disclosure. Control unit 840 usescascaded controllers (horizontal controller 1202, vertical controller1210, reduced attitude controller 1220, yaw controller 1230, andbody-rate controller 1242, with reference signal/feedback signal flowomitted for clarity).

The control scheme depicted in control unit 840 is used to followdesired vehicle position and yaw trajectories. The onboard controlcomprises four separate loops: horizontal 1202 and vertical positioncontrol 1210 loops, a reduced attitude control 1220 loop and a yawcontrol 1230 loop. It will be understood that the reference numeralsused for controllers within control unit 840 of FIG. 12 are also used torefer to control loops associated with the controllers. The output ofthe four control loops are the three body rate commands to the flyingmobile robot 1100 shown in FIG. 11, and the collective thrust producedby the mobile robot's four propellers 1110.

The control strategy shown in FIG. 12 is based on a cascaded loopshaping design strategy. The controller design is therefore split intothe design of several controllers of lower-order dynamic systems. Thevertical control loop 1210 is shaped such that it responds to altitudeerrors like a second-order system with collective thrust c. Similarly tothe vertical control loop 1210, the two horizontal control loops 1202are shaped to behave in the manner of a second-order system. However, nocontrol inputs are directly calculated but the commanded accelerationsa(x) and a(y) are given as set points to the attitude controller 1220.The attitude controller 1220 controls the reduced attitude of the mobilerobot such that the commanded accelerations a(x) and a(y) are met. Thecommanded accelerations are then converted to commanded rotation matrixentries. Using the rotational kinematics of the mobile robot, the rateof change of the matrix entries can be used to compute the desiredvehicle body rates p and q. The controllers described above fully definethe translational behavior of the mobile robot. The yaw controller 1230may then be implemented as a proportional controller from the measuredyaw angle (e.g., as measured by a sensor 155 on the mobile robot 1100).

FIG. 13A shows an illustrative system for use with an autonomous flyingrobot 1100 in accordance with some embodiments of the presentdisclosure. Autonomous flying robot 1100 receives UWB signals 102 a-dtransmitted by four UWB transceivers 110 placed in its vicinity. Flyingrobot 1100 is equipped with a self-localizing apparatus (not shown forclarity), rigidly attached to the robot's chassis.

FIG. 13B shows a plot of illustrative transmission and reception timesof UWB packets of UWB signals 102 emitted by four transceivers 110 andreceived by a mobile robot. In some embodiments, the plot of FIG. 13Bcorresponds to transmission and receptions times of the UWB signalsdepicted in FIG. 13A. In some embodiments, the schedule according towhich UWB signals 102 are transmitted is determined autonomously bytransceivers 110. In some embodiments, the transmission schedule ispredetermined. In some embodiments, the transmission schedule is updatedduring operation. In some embodiments, TDMA techniques are used togenerate the transmission schedule, as further discussed below inreference to FIG. 14.

In the illustrative plot of FIG. 13B, at time T1 a first UWB packet 102a leaves the antenna of a first transceiver 110. Subsequent UWB packets102 b, 102 c, and 102 d of the other three transceivers 110 leave theirrespective transceivers' antennae at times T2, T3, and T4, respectively.In this scheme, the transceivers emit packets in a round-robin fashionand at regular intervals 1310:

-   -   T2−T1=T3−T2=T4−T3.

The four emitted UWB packets 102 a, 102 b, 102 c, and 102 d are receivedat the antenna of a self-localizing apparatus connected to mobile robot1100 at reception times R1, R2, R3, and R4. Based on these measuredreception times, the self-localizing apparatus computes the followingtime differences of arrival 1300 a, 1300 b, 1300 c:

-   -   R2−R1; R3−R2; R4−R3.

In this scheme, the self-localizing apparatus can compute its locationrelative to the transceivers. This is achieved by accurately measuringthe time differences of arrival 1300 a, 1300 b, 1300 c, by convertingthese time differences to distances using an estimated speed of signals102, and by using multilateration to compute the robot's locationrelative to the known locations of the transceivers.

FIG. 14A shows an illustrative transceiver network including multipletransceivers 110 in accordance with some embodiments of the presentdisclosure. Such a transceiver network may allow for the use of aself-localizing apparatus 130 in a wide geographic area by allowing forthe simultaneous use of a large number of transceivers. As shown in FIG.14A, in the case where transmission ranges 1400 of two transceiversoverlap, the transceivers will be referred to as “interfering”, becausesimultaneous transmission of UWB signals 102 by both transceivers mayresult in the UWB signals 102 interfering. In order to avoid signalinterference, the signal emissions of transceivers in a particular areaare typically coordinated. In some embodiments, this may be achieved byensuring adequate separation of signals in time (e.g., throughsufficient time between the emission of two signals, e.g., using ascheduling unit), in space (e.g., through sufficient geographicseparation of transceivers) or in frequency (e.g., through sufficientseparation of the UWB signals' transmission carrier frequencies).

The amount of time required for sufficient signal separation in time maydepend on many factors (e.g., strength of the signal, size of a signalpacket, pulse/peak shape of the signal, transceiver's antenna,receiver's antenna, the geographic location of transceivers (includingtheir geographic separation), obstacles, background noise, etc.).Ensuring time separation of signals may mean that the duration betweensubsequent signals from any particular transceiver increases as thenumber of transceivers grows. This can be particularly problematic fordynamic autonomous mobile robots, where even relatively small reductionsin update rates may result in a significant degradation in localizationperformance. A known method of ensuring time separation is Time DivisionMultiple Access (TDMA). Aloha methods may also be utilized inembodiments where occasional signal interference is acceptable, andwhere signal timing is unimportant.

Sufficient separation in space, related to the transmission range ofeach transceiver, may depend on many factors (e.g., strength of thesignal, frequency of the signal, bandwidth of the signal, pulse/peakshape of the signal, transceiver's antenna, receiver's antenna, thegeographic location of transceivers (including their geographicseparation), obstacles, background noise, etc.). In some embodiments,typical spatial separation is 1-100 meters. In some embodiments, typicalspatial separation is 10-500 meters. In some embodiments, typicalspatial separation is 200-2000 m. In some embodiments, typical spatialseparations are on the order of kilometers. In some embodiments, twotransceivers may be co-located. In some embodiments, combinations ofspatial separations are used. In FIG. 14A, transmission range 1400 isgraphically represented as a circle for simplicity; however, it will beapparent to one skilled in the art that transmission range 1400 may be amore complex shape. When ensuring space separation of transmissions, itmay be desirable to locate transceivers 110 such that a self-localizingapparatus 130 would be capable of receiving transmissions from apredetermined number of transceivers 110 at every point within a definedgeographic area. This number of transceivers 110 may depend on manyfactors (e.g., desired update rate, desired system robustness, timeseparation of the transmissions, frequency separation of thetransmissions, background noise, obstacles, etc.).

Achieving sufficient separation in space may be further aided by theselection of suitable antennas. Some embodiments use directionalantennas. Some embodiments use omnidirectional antennas. In someembodiments, directional antennas are used to help ensure spaceseparation of UWB signals. In some embodiments, by directing thetransmissions of transceivers 110 using directional antennas, it may bepossible to more accurately control which transceivers 110 transmit towhich regions of a defined space and thus more accurately control thespace separation of UWB signals 102. In some embodiments, by directingthe transmissions of transceivers 110 using directional antennas, it maybe possible to achieve a longer transmission range in a desireddirection. Other methods that may aid spatial separation includeshielding, placement (e.g., away from noise sources), optimizingradiation patterns, and combinations of the above. In some embodiments,by equipping a self-localizing apparatus 130 with a directional antenna,orientation information can be estimated based on a comparison of whichsignals are received with the known locations of transceivers 110.

In some embodiments, transceivers 110 are arranged such that coverage ofa desired operating area is optimized with respect to some metric. Insome embodiments, a transceiver's 110 operation is optimized withrespect to some metric. Suitable metrics may include the number oftransceivers in range, a signal strength, update rate from a specificcombination of transceivers, multipath effects, or others, includingcombined metrics. Transceiver arrangement may comprise a transceiver'slocation, a transceiver's antenna orientation, a transceiver's operatingfrequency, a transceiver's bandwidth, or other factors. An operatingarea may be a geographic area, a flight volume for a flying robot 1100,a pre-defined operating volume, or another area. Optimization mayconcern physical parameters (e.g., geographic placement of transceivers,antenna orientations, etc.) or operational parameters (e.g., theoperation of a scheduling unit 150).

Sufficient separation in transmission frequency may depend on manyfactors (e.g., strength of the signal, frequency of the signal,bandwidth of the signal, pulse/peak shape of the signal, transceiver'santenna, receiver's antenna, the geographic location of transceivers(including their geographic separation), obstacles, background noise,etc.). In some embodiments, separation is in the range of 1-50 MHz. Insome embodiments, separation is in the range of 100-500 MHz. In someembodiments, separation is in the range of 200-1000 MHz. In someembodiments, overlapping transmission frequencies are used. Whendesigning for frequency separation of signals, it may be important toconsider that a self-localizing apparatus 130 may need to change itsreception frequency in order to receive the frequency-separated UWBsignals 102. A known method of ensuring frequency separation isFrequency Division Multiple Access (FDMA). In some embodiments,combinations of various frequency separations are used.

In some embodiments, TDMA may be employed to ensure time separation ofUWB signals 102. In some embodiments, a simple approach may be employed,whereby if the transceiver network comprises N transceivers, N timeslots will be allocated, one per transceiver 110. The time of cyclingthrough all time slots is sometimes referred to as TDOA cycle time. In acase where all transceivers in a network are interfering, thisallocation of N transceivers to N time slots is optimal. However, in acase as illustrated in FIG. 14B, where not all transceivers interfere, amore optimal TDMA allocation is possible, which uses fewer than N timeslots and thus decreases the TDOA cycle time, and increases the averagerate at which a self-localizing apparatus 130 would receive UWB signals102.

FIG. 14B shows an illustrative simplified transceiver network inaccordance with some embodiments of the present disclosure. In FIG. 14B,transceivers 110 a and 110 e do not interfere. It will be apparent toone skilled in the art that in this case, both transceivers 110 a and110 e may utilize the same TDMA timeslot, since it is not possible for aself-localizing apparatus to simultaneously receive signals from bothtransceivers because of their separation in space, and thus simultaneoustransmissions will not interfere. This is illustrated in FIG. 14B bytransceivers 110 a and 110 e having the same shading.

In some embodiments, a scheduling unit 150 may coordinate the schedulingof TDMA timeslots. The synchronization of multiple transceivers 110 toachieve a consistent time schedule may in some embodiments be enabled bya synchronization unit 174 or may be enabled by transceivers 110 sharinga common clock 300. In some embodiments, timeslot allocation may bemanually determined or programmed into the transceiver's memory (e.g.,memory 170). In some embodiments, timeslot allocation may be performedautonomously by a scheduling unit 150.

To autonomously select timeslots, transceivers may first construct agraph of neighboring transceivers (as illustrated in FIG. 14B byconnecting edges 1410). In some embodiments, this may be achieved bytransceivers 110 sharing their connection information as the payload 716of UWB signals 104. In some embodiments, this connection information maybe preprogrammed. Once a graph of the network has been constructed, theproblem of autonomous timeslot allocation may be simplified to adistributed graph-coloring problem—a problem for which there arenumerous known, algorithmic solutions. An example solution to this graphcoloring problem is illustrated in FIG. 14B, which depicts transceivers110 with varying shadings, illustrating the timeslot during which theytransmit.

In some embodiments, the process of graph-building and timeslotallocation may occur periodically or may be triggered by a transceiver110 through transmission of an appropriate UWB signal 104. In someembodiments, this signal 104 is transmitted in response to an event. Insome embodiments, an additional TDMA timeslot is allocated fortransmission of arbitrary UWB signals 104. In some embodiments, usage ofthis TDMA timeslot is coordinated by ALOHA. In some embodiments,transceivers 110 use this TDMA timeslot to alert other transceivers 110to the occurrence of an event. In some embodiments, this timeslot isused by a transceiver 110 to trigger reallocation of TDMA timeslots.

In some embodiments, periodic or triggered reallocation allows thenetwork to adapt the allocation of TDMA timeslots in order to compensatefor transceivers joining or leaving the transceiver network. Addition ofa transceiver 110 to the network may, in some embodiments, be achievedby leaving one TDMA slot unallocated in order to allow new transceivers110 to announce their addition to the network and trigger a reallocationof TDMA timeslots. Removal of a transceiver 110 from the network may, insome embodiments, be achieved by enabling transceivers to monitor fornon-transmission of a transceiver 110 and trigger reallocation of TDMAtimeslots if a transceiver 110 has not transmitted for a predeterminednumber of its TDMA timeslots.

In some embodiments, a TDMA time slot length less than 0.1 ms, 0.5 ms, 1ms, 2 ms, 2.5 ms, 5 ms, 10 ms, or 50 ms is used.

In some embodiments, a transceiver 110 may include its estimatedlocation or timing information within the payload 716 of its UWB signals102 or 104. In some embodiments, a transceiver 110 is operable toreceive these transmitted UWB signals 104. In some embodiments, thereceiving transceiver 110 may include a synchronization unit 174 thatacts to synchronize the time schedule of the receiving transceiver withthe time schedule of the transmitting transceiver, based on receivedtiming or location information. In some embodiments, the receivingtransceiver 110 may include a scheduling unit 150 that adapts the localtransmission schedule based on the received timing or locationinformation. In some embodiments, this scheduling unit 150 updates anetwork graph based on the received timing or location information. Insome embodiments, this scheduling unit 150 causes the receivingtransceiver 110 to trigger TDOA reallocation based on the receivedtiming or location information. In some embodiments, the receivingtransceiver 110 may include a position calibration unit 180 that refinesthe location estimate of the receiving or transmitting transceiver 110based on the received timing or location information. In someembodiments, where a coordinate system is estimated by transceivers 110,refining the location estimate of a single transceiver 110 causes thecoordinate system to be refined.

In some embodiments, transceivers 110 may be allocated more than oneTDMA timeslot, allowing them to transmit more often within one TDMAcycle. In some embodiments, allocation of multiple timeslots may, forexample, be decided based on the Fisher Information added by thetransceiver 110—a heuristic known to those skilled in the art, which canbe calculated based on the transceiver's relative position.

In some embodiments, Frequency Division Multiple Access (FDMA) is usedto mitigate transceiver interference, whereby interfering transceiversmay be allocated different transmission frequencies such that they nolonger interfere. In some embodiments, interfering transceivers may beallocated different preambles or pulse repetition frequencies to achievea similar effect.

FIG. 15A is a block diagram of an illustrative localization system thatuses a data access point 1510 in accordance with some embodiments of thepresent disclosure. The localization system also includes threetransceivers 110 and two self-localizing apparatuses 130. In thisillustrative system, each self-localizing apparatus 130 comprises a datatransceiver 1500. Each self-localizing apparatus 130 receives UWBsignals 102 from the transceivers 110. Transceivers 110 use UWB signals104 to exchange data. Self-localizing apparatuses 130 exchange data withthe data access point 1510 using a second, different type of signal1520. This is accomplished using a data transceiver 1500 operationallycoupled to the self-localizing apparatus. Signal 1520 may, for example,use a different technology (e.g., 802.11 Wi-Fi, Bluetooth, etc.). Asanother example, Signal 1520 may use a different set of UWB signals(e.g., different frequency, different preamble, different timing, etc.).Signals 1520 and UWB signals 102 may be designed to not interfere.

In FIG. 15A, each self-localizing apparatus comprises an antenna 1505for communicating with data access point 1510. The antenna 1505 isoperationally coupled to data transceiver 1500. Each transceiver 130comprises an antenna 132 (omitted for clarity) for receiving signalsfrom transceivers 110.

Using different signal types for the transceivers' signals 102 and forthe self-localizing apparatus' signals 1520 as shown in FIG. 15A canhave technical advantages. For example, the architecture shown in FIG.15A decouples the localization system's performance from the number ofself-localizing apparatuses 130. In principle, the system's transceivers110 can therefore still support an infinite number of self-localizingapparatuses 130. The localization system's update rate and latency arestill not affected by the number of self-localizing apparatuses 130using the transceivers' signals 102. As another example, thearchitecture shown in FIG. 15A still makes the location informationavailable on the self-localizing apparatus. This still allows the use oflocal sensor fusion (e.g., with data from an IMU) to improve theself-localizing apparatus' localization estimate without generatingadditional network load. At the same time, the signals 1520 may allowfor one-way communication from the self-localizing apparatus to dataaccess point 1510. This may, for example, allow a human or automatedoperator at the access point 1510 to monitor the self-localizingapparatuses (e.g., for a tracking application). As shown in FIG. 15A,signals 1520 may allow for two-way communication. This may, for example,allow implementation of a traffic management system, which sendsmonitoring data from self-localizing apparatuses 130 to data accesspoint 1510, and which sends control data from data access point 1510 toself-localizing apparatuses 130.

More generally, this separation may allow separate optimization of thenetwork properties of the transceivers 110 and the data access point1510 (e.g., scalability, update rate, latency, bandwidth, transceiverplacement, transceiver density, antenna design, antenna orientation, andmany others) in order to meet the requirements of a specific use case.For example, localization data signals 102 may be provided in real-time,while tracking signals 1520 may be sent at a much lower rate.

FIG. 15B is a block diagram of an illustrative localization system whereself-localizing apparatuses 130 are equipped with data transceivers 1500in accordance with some embodiments of the present disclosure. Thelocalization system also includes three transceivers 110. In someembodiments, the localization system of FIG. 15B does not use a dataaccess point 1510.

In the architecture shown in FIG. 15B, self-localizing apparatuses 130can exchange signals 1530 directly. In some embodiments, signals 1530are signals. This may, for example, allow the system to remain scalable.In some embodiments, signals 1530 may be the same as signals 1520. Thismay, for example, allow the same technical advantages listed in theprevious section. As a further example, this architecture may also allowthe implementation of an ad hoc network. Various network topologies(e.g., mesh, bus, star, etc.) may be used. Various communicationsprotocols, including dynamic protocols (e.g., DHCP), may be used. Suchlocal networks may reduce network load or maintain scalability, e.g., byrestricting communication to a sub-set of data transceivers 1500.

The architecture shown in FIG. 15B may also be implemented by having oneof the self-localizing apparatuses 130 act as a data access point 1510.This role may be statically assigned to a specific data transceiver1500. This role may also be dynamically assigned to a data transceiver1500, e.g., depending on its location, its connectivity, etc.

The architecture shown in FIGS. 15A and 15B may, for example, be used toimplement behaviors controlled, implemented, or mediated by aself-localizing apparatus 130, by a data transceiver 1500, or by a dataaccess point 1510. For example, a self-localizing apparatus 130 maycontrol light as a function of its distance to another apparatus 130. Asanother example, a self-localizing apparatus 130 may implement a motionbehavior of a mobile robot that depends on another self-localizingapparatus (e.g., swarming, flocking, herding, schooling, cameratracking, etc.). As another example, two self-localizing apparatuses 130may exchange data for cooperation (e.g., to synchronize their motions,to carry a payload, to coordinate camera coverage of an area, or toprovide feedback on each other's motion). As yet another example, aself-localizing apparatus may mediate or implement obstacle avoidancebehavior in a mobile robot. As yet another example, two flying robotsmay each be equipped with a self-localizing apparatus comprising a datatransceiver. In this example, each data transceiver may send datarelated to the robot's location to a central server comprising a dataaccess point 1510. The central server may then provide air trafficcontrol services (e.g., services related to collision prevention,services related to organizing traffic, services related to reservingflight paths). The central server may send data related to its servicesto a specific robot, or may broadcast data, or may make data availablevia a publisher-subscriber model. As another example, a self-localizingapparatus 130 equipped with a data transceiver 1500 may fuse data fromUWB localization signals 102, local sensors 155, and global propertysensors 156, 158 using a localization unit 152; record data related toits location using a memory 171; monitor the data for a trigger eventusing a control unit 840; and, upon detecting a trigger event, use adata transceiver 1500 to send a message to a data access point 1510.This may, for example, allow a doctor in a hospital to receive an alertmessage when a patient wearing a self-localizing apparatus falls to theground, and to determine the fallen patient's location.

In some embodiments, the architectures in FIGS. 15A and 15B may be usedwith a cloud infrastructure. In some embodiments, a first and a secondflying robot are each equipped with a self-localizing apparatus. Eachself-localizing apparatus receives UWB signals 102 from a multitude oftransceivers 110 positioned around the robots' operating environment.Each self-localizing apparatus receives images from an onboard camera.Each self-localizing apparatus uses a data transceiver to transmit datarelated to the camera data (e.g., key frames extracted from the camerafeed) to a data access point. The data access point transmits the datato a cloud robotics infrastructure, which uses centralized computationalinfrastructure (e.g., a data center) to process the data (e.g., toperform cloud-based collaborative mapping). The data access pointtransmits the processed data (e.g., containing the robot's location in amap) back to each of the robots, which each use their localization unitto improve their location estimate by fusing the processed data withlocalization data from the UWB signals 102. This architecture allowsself-localizing apparatuses to perform tasks that require heavycomputation (e.g., planning, probabilistic inference, mapping, loopclosure (e.g., as part of algorithms for Simultaneous Localization AndMapping (SLAM)), etc.). This architecture also allows self-localizingapparatuses to perform tasks that require cooperation (e.g.,collaborative mapping, collaborative task planning, generating andmaintaining consistent world state estimates, etc.).

In some embodiments, data access point 1510 comprises a global propertysensor (not shown). This may, for example, allow the data access point1510 to provide data to a self-localizing apparatus 130, which may beuseful to compute an improved location estimate.

In some embodiments, data access point 1510 comprises a memory (notshown) or a processing unit (not shown). This may, for example, allowdata access point 1510 to provide services. In some embodiments, dataaccess point 1510 implements push services. In some embodiments, dataaccess point 1510 implements pull services.

In some embodiments, data access point 1510 provides a communicationlink between two self-localizing apparatuses 130. This may allow twoself-localizing apparatuses 130 to exchange sensor data (e.g., data froma global property sensor, data from a vision sensor). In someembodiments, exchanging data may help self-localizing apparatuses 130 tocompute an improved estimate of their location using a localizationunit.

According to a first aspect of the present disclosure, there is provideda localization system, comprising three UWB transceivers, each operableto emit an UWB signal at a scheduled transmission time with reference tothe transceiver's clock, a self-localizing apparatus, operable toreceive and time stamp the UWB signals with reference to the apparatus'clock, and a localization unit, operable to compute a relative locationof the self-localizing apparatus to the three UWB transceivers based onthe timestamps of the received UWB signals.

In some embodiments, the self-localizing apparatus may determine itslocation from signals broadcast by at least one, two, or threetransceivers. This may be achieved based on the self-localizingapparatus' knowledge of (1) the locations of each of the at least one,two, or three transceivers, (2) the precise transmission time of atleast one signal of each of the one, two, or three transceivers, (3) theaccurate time intervals between the transmission times of the at leastone, two, or three transceivers, and (4) the accurate time intervalsbetween the transmission times of at least two subsequent signals ofeach of the at least one, two, or three transceivers. In someembodiments, the known locations (1), the precisely known transmissiontimes (2), the accurately known time intervals between differenttransceivers' signals (3), or the accurately known time intervalsbetween a single transceiver's signals (4) are pre-defined (e.g., theymay be stored in the self-localizing apparatus' memory) or transmittedwith the signal (e.g., as a payload).

In some embodiments, transceivers are wired and can communicate througha wired connection. In some embodiments, transceivers communicatethrough a wireless connection. In some embodiments, the same signalsthat allow the self-localizing apparatus' localization are used forcommunication between transceivers. In some embodiments, transceiverscommunicate using UWB signals. In some embodiments, transceivers'communication is embedded in the UWB signals (sometimes called“payload”). In some embodiments, transceivers communicate to synchronizetheir clocks.

In some embodiments, communication channels implement an error checkingfunction (e.g., CRC generation and checking). In some embodiments, atleast one Inter-Integrated Circuit bus (I2C) or Serial PeripheralInterface Bus (SPI) system is used.

Signals from transceivers may be received through cables (i.e., a wiredsetup) or through a wireless connection. When using a wired connection,transceivers may send communication signals to, and receivecommunication signals from, transceivers using digital transmission anddigital reception electronics. The exchanged signals may be usedprimarily to synchronize transceivers' clocks. This is important becausethe rate at which clocks count time is not constant between clocks, andvaries with time (“clock drift”), resulting in time differences betweentransceivers even if all transceivers' clocks were initially setaccurately. Furthermore, different clocks may have a clock offset.Moreover, different clocks' rates may evolve differently over time. Suchdifferences may influence the timestamping of signals and thereforeresult in reduced localization performance. Such differences can beavoided by using a wired setup with transceivers served by a singleclock. In some embodiments, the wiring setup uses an identical lengthfor each cable connecting a transceiver to the clock to ensure identicalsignal travel times from the clock to each transceiver.

In some embodiments, a transceiver is structured and arranged to receivea wireless signal. In some embodiments, a transceiver is structured andarranged to receive a timestampable signal. In some embodiments, atransceiver is structured and arranged to receive an UWB signal.

In some embodiments, the reception of a wireless signal may improvetransceiver performance. For example, a first transceiver may use awireless signal received from a second transceiver to adjust itsinternal clock. This may, e.g., be achieved by the synchronization unitstoring in a memory the times at which the wireless signals werereceived from other transceivers in the network, and subsequentlyadjusting the local clock based on these times. In some embodiments,improved clock synchronization results in less variation between therate at which different transceivers transmit signals. In someembodiments, measurement of the variation between transmission rates maybe a metric used to assess the performance of a localization network.

In some embodiments, the localization system further comprises ascheduling unit, operationally coupled to the three transceivers.

In some embodiments, the localization system comprises an onboardactuator, operable to influence a motion of the apparatus, and a controlunit, operable to produce a control signal for the apparatus' onboardactuator in dependence of the relative location. In some embodiments,the control unit is further operable to compute the control signal inless than 0.1, 0.2, 0.5, 1, or 5 seconds from receiving datarepresentative of the relative location and the onboard actuator isfurther structured and arranged to influence the apparatus' motion inless than 0.1, 0.2, 0.5, 1, or 5 seconds from receiving the controlsignal such that the apparatus can be controlled in real-time.

In some embodiments, the localization system is structured and arrangedto move the apparatus in response to a disturbance to the relativelocation, wherein the movement reduces the disturbance in less than 5,1, or 0.2 seconds. In some embodiments, the disturbance is aninstantaneous event.

In some embodiments, the disturbance changes the apparatus' or robot'sactual position by at least 1 m or by 10 cm. In some embodiments, thedisturbance changes the apparatus' or robot's actual orientation by atleast 45 deg or by 10 deg.

In some embodiments, the system for apparatus localization is operableto react to a disturbance to the position of the three transceivers bycausing the apparatus to move to reduce the disturbance in less than0.1, 0.2, 0.5, 1, or 5 seconds. In some embodiments, the disturbancechanges the three transceivers' actual position by 1 m, 50 cm, 30 cm or10 cm. In some embodiments, the disturbance is a simultaneous, sudden,linear shift in the position of all of the three transceivers.

In some embodiments, the localization system comprises a compensationunit, and a memory unit, and the localization unit is further operableto compute the relative location in dependence of a compensationcomputed by the compensation unit, and data provided by the memory unit.In some embodiments, the relative location is computed using a timedifference of arrival (TDOA) technique. In some embodiments, the memoryunit is operable to store a position and an identifier for each of thethree UWB transceivers. In some embodiments, the memory unit is operableto store a time difference of arrival.

In some embodiments, the self-localizing apparatus 130 further comprisesa sensor, which is structured and arranged to detect an absence ofmotion, and the self-localizing apparatus' localization unit is furtheroperable to compute the relative location in dependence of the absenceof motion.

In some embodiments, each of the three UWB transceivers furthercomprises a sensor, structured and arranged to detect a disturbance tothe UWB transceiver's position or orientation. In some embodiments, thedisturbance is one of a change in orientation or position. In someembodiments, the disturbance is a vibration. In some embodiments, thesensor is an accelerometer. In some embodiments, the sensor isoperationally coupled to the transceiver's digital transmissionelectronics and the transceiver's digital transmission electronics areoperable to transmit data representative of the disturbance to theself-localizing apparatus.

In some embodiments, the self-localizing apparatus further comprises acompensation unit. In some embodiments, the compensation unit isoperationally coupled to the apparatus' digital reception electronics orto a memory unit, and operable to compute one of (i) a compensation fora time difference of arrival between a first UWB signal traveling from afirst transceiver to the apparatus and a second UWB signal travelingfrom a second, different transceiver to the apparatus, and (ii) acompensation for the time stamp of a first UWB signal traveling from thefirst transceiver to the apparatus.

In some embodiments, the system for apparatus localization is operableto maintain the apparatus' position relative to the three transceiversin spite of a disturbance to the orientation of the apparatus' antennain any of the antenna's axes. In some embodiments, the disturbancechanges the orientation of the apparatus' antenna by more than 10degrees, 30 degrees, or 60 degrees. In some embodiments, the disturbancechanges the orientation of the apparatus' antenna in any of its threeaxes.

In some embodiments, the system for apparatus localization is furtheroperable to compute the compensation in dependence of a model of theapparatus' movement. In some embodiments, the system for apparatuslocalization is further operable to compute the compensation independence of a model of the apparatus' motion.

In some embodiments, the system for apparatus localization is furtheroperable to compute the compensation to within 0.6, 3, or 15nanoseconds. In some embodiments, the compensation unit is furtheroperable to compute the compensation such that the statistical meanerror of the actual time difference of arrival or the actual time ofarrival and the computed compensation is smaller than 0.6, 3, or 15nanoseconds.

In some embodiments, a centralized clock is used to synchronize wiredtransceivers. In some embodiments, the clock synchronization UWB signalsare UWB signals.

In some embodiments, the transceiver's antenna is structured andarranged to (i) send the UWB signal and (ii) receive the UWB clocksynchronization signal. In some embodiments, separate antennae are usedfor the UWB signal and the UWB clock synchronization signal. In someembodiments, each of the at least three UWB transceivers' antennae isstructured and arranged to transmit and to receive an UWB clocksynchronization signal.

In some embodiments, the sensor comprises at least one of a camera,accelerometer, magnetometer, and gyroscope. In some embodiments, thesensor belongs to the group of accelerometers, gyroscopes,magnetometers, cameras, optical flow sensors, barometers, encoders, andinfra-red sensors. In some embodiments, the sensor belongs to the largergroup of accelerometers, gyroscopes, magnetometers, cameras, opticalflow sensors, laser or sonar range finders, radar, barometers,thermometers, hygrometers, bumpers, chemical sensors, electromagneticsensors, air flow sensors and relative airspeed sensors, ultra soundsensors, microphones, radio sensors, and other height, distance, andrange sensors, and infra-red sensors, time-of-flight sensors, andencoders. In some embodiments, the orientation sensor is one of amagnetometer or accelerometer. In some embodiments, the apparatuscomprises a sensor structured and arranged to detect data representativeof the operation of at least one of the actuators used for the movementof the apparatus.

According to another aspect of the present disclosure, a mobile robot isprovided that is operable to move in dependence of an UWB signal, anonboard sensor signal, and a comparison of a global property at a firstand second location.

In some embodiments, the mobile robot's reference signal isrepresentative of a desired position or orientation of the mobile robot(or the mobile robot's antenna), and the movement reduces a disturbanceto the mobile robot's (or its antenna's) actual position or orientationrelative to the mobile robot's (or its antenna's) desired position ororientation caused by at least one of a change in the mobile robot's (orantenna's) orientation, position, or movement.

According to another aspect of the present disclosure, an onboard signalmay be produced based on a self-localizing apparatus' position relativeto at least four UWB transceivers with known relative locations. In someembodiments, the transceivers' clocks may be synchronized and each ofthe four transceivers may transmit an UWB signal at a scheduledtransmission time. The self-localizing apparatus may receive andtimestamp the signals using its clock and retrieve each signals'transmission time stamp in the synchronized transceiver clocks' time(e.g., by retrieving them from a memory or by decoding them from UWBsignal(s)). The position of the self-localizing apparatus relative tothe transceivers may then be computed based on the known relativelocations, the four transmission time stamps, and the four receptiontime stamps and compared to a reference position or a threshold. Theself-localizing apparatus may then produce a control signal for anonboard actuator, a signal for an onboard speaker, a signal for anonboard display, or a wireless signal based on the comparison.

In some embodiments, a self-localizing apparatus is wearable. In someembodiments, a self-localizing apparatus is operable to provide userfeedback (e.g., provide audio via a speaker, provide images or video viaa display).

According to another aspect of the present disclosure, an onboard signalmay be produced based on a self-localizing apparatus' position relativeto at least three UWB transceivers with known relative locations. Theself-localizing apparatus may transmit at least one UWB signal and storeat least one transmission time stamp of the at least one UWB signal inthe self-localizing apparatus clock's time in a memory. The three UWBtransceivers may then each receive and reception time one of the atleast one UWB signal and each transmit an UWB signal. These transmittedsignals may then be received and time stamped by the self-localizingapparatus in its clock's time. First, second, and third transmissiondelays between the reception and transmission of the first, second, andthird transceiver may then be retrieved from a memory or decoding froman UWB signal and the position of the self-localizing apparatus relativeto the transceivers may then be computed based on the known locations,the reception time stamps, the delays, and at least one transmissiontime stamp and compared to a reference position or a threshold. Theself-localizing apparatus may then produce a control signal for anonboard actuator, a signal for an onboard speaker, a signal for anonboard display, or a wireless signal based on the comparison.

According to another aspect of the present disclosure, the effects of amovement of an UWB transceiver that is part of an UWB transceivernetwork with known relative positions and each comprising a sensor maybe mitigated by detecting movement using the sensor, wirelesslytransmitting information indicating the movement, and performing one ormore of computing a compensation, adjusting a computation of a position,or triggering an alert.

According to another aspect to the present disclosure, there is provideda system for apparatus localization comprising three UWB transmittersand a self-localizing apparatus, wherein one of the UWB transmitters andthe apparatus each comprise a global property sensor and wherein theself-localizing apparatus further comprises central processingelectronics operable to compute a location of the apparatus relative tothe three UWB transceivers based on the received UWB signals and sensordata from the two global property sensors. In some embodiments, theglobal property sensed may be one of an atmospheric pressure, a magneticfield, a landmark, GPS signals, and gravity. In some embodiments, thecomputation may be further based on a comparison of the sensor data, oruse a global property model for the sensor data, or use datarepresentative of an orientation or a motion of the apparatus. In someembodiments, the central processing electronics is further operable tocompute control signals for an actuator based on the comparison, the useof the global property model, or the use of the data representative ofan orientation or a motion of the apparatus.

According to another aspect to the present disclosure, there is provideda mobile robot, comprising an actuator operable to affect a movement ofthe mobile robot based on at least one time stamped UWB signal and areference signal. In some embodiments, the actuator is further operableto affect the movement based on a comparison of an onboard sensor signalwith an offboard sensor signal received from an offboard sensor at aremote location and produced based on the global property at the remotelocation. In some embodiments, the mobile robot is operable to use aglobal property model to compare the onboard sensor signal with theoffboard sensor signal. In some embodiments, the actuator is furtheroperable to affect the movement based on a signal indicative of at leastone of a position, an orientation, and a movement of an UWB transmitterproducing the UWB signal. In some embodiments, the mobile robotcomprises a localization unit and a control unit operable to produce acontrol signal for the actuator.

In some embodiments, an additional UWB transceiver may be added to anUWB transceiver network. The UWB network may comprise at least a first,second, and third UWB transceiver with known relative positions to eachother. In some embodiments, each of the first, second, and third UWBtransceiver and the additional wireless UWB transceiver may comprise aclock.

In some embodiments, the additional UWB transceiver may be activatedwithin wireless reception range of the first, second, and third UWBtransceivers. The additional UWB transceiver may have a partially orwholly unknown relative position to the first, second, and third UWBtransceivers.

In some embodiments, each of the three UWB transceivers may beconfigured to wirelessly transmit UWB signals. Each of the three UWBtransceivers may be configured to generate a timestamp whenever an UWBsignal is transmitted by that UWB transceiver. The additional UWBtransceiver may be configured to receive UWB signals transmitted by anyof the other UWB transceivers. In some embodiments, the additional UWBmay be configured to timestamp a reception time of any UWB signalreceived from any of the other UWB transceivers. For example, in someembodiments, when an UWB signal is transmitted by the first UWBtransceiver, the first UWB transceiver may create a transmissiontimestamp, while the additional UWB transceiver may create a receptiontimestamp when it receives the UWB signal.

In some embodiments, first UWB transceivers may transmit a first UWBsignal, and create a first transmission timestamp based on the clock ofthe first UWB transceiver. The second UWB transceivers may transmit asecond UWB signal, and create a second transmission timestamp based onthe clock of the second UWB transceiver. The third UWB transceivers maytransmit a third UWB signal, and create a third transmission timestampbased on the clock of the third UWB transceiver.

In some embodiments, the additional UWB transceiver may receive thefirst UWB signal, and generate a first reception timestamp based on theclock of the additional UWB transceiver. The additional UWB transceivermay also receive the second UWB signal, and generate a second receptiontimestamp based on the clock of the additional UWB transceiver. Theadditional UWB transceiver may also receive the third UWB signal, andgenerate a third reception timestamp based on the clock of theadditional UWB transceiver.

In some embodiments, a position calibration unit may compute theposition of the additional UWB transceiver relative to the first,second, and third UWB transceivers based on the reception of the first,second, and third received UWB signals and the known relative locationsof the first, second, and third UWB transceivers. In some embodiments, aposition calibration unit may compute the position of the additional UWBtransceiver relative to the first, second, and third UWB transceiversbased on the first, second, and third reception timestamps and the knownrelative locations of the first, second, and third UWB transceivers.

In some embodiments, the UWB network may comprise a fourth UWBtransceiver. The fourth UWB transceiver may have a known locationrelative to the first, second, and third UWB transceivers and comprise aclock.

In some embodiments, the additional UWB transceiver may be withinreception range of the fourth UWB transceiver. The fourth UWBtransceivers may transmit a fourth UWB signal, and create a fourthtransmission timestamp based on the clock of the fourth UWB transceiver.The additional UWB transceiver may also receive the fourth UWB signal,and generate a fourth reception timestamp based on the clock of theadditional UWB transceiver. In some embodiments, the fourth receptiontimestamp may also be used to compute the position of the additional UWBtransceiver relative to the first, second, third, and fourth UWBtransceivers.

In some embodiments, the clocks of the first, second, and third UWBtransceivers may be synchronized. In some embodiments, first, second,and third transmission timestamps may be known in the synchronizedclocks' time. In some embodiments, first, second, and third transmissiontimestamps may be retrieved from memory of the additional UWBtransceiver. In some embodiments, first, second, and third transmissiontimestamps may be decoded from an UWB signal. In some embodiments,first, second, and third transmission timestamps may also be used tocompute the position of the additional UWB transceiver relative to thefirst, second, and third UWB transceivers.

In some embodiments, the additional UWB transceiver may wirelesslytransmit at least one additional UWB signal prior to the wirelesstransmission of the first, second, and third UWB signals. The additionalUWB transceiver may generate and store an additional transmissiontimestamp based on the clock of the additional UWB transceiver in amemory.

In some embodiments, the first UWB transceiver may receive theadditional UWB signal and generate a first additional receptiontimestamp based on the clock of the first UWB transceiver. The secondUWB transceiver may receive the additional UWB signal and generate asecond additional reception timestamp based on the clock of the secondUWB transceiver. The third UWB transceiver may receive the additionalUWB signal and generate a third additional reception timestamp based onthe clock of the third UWB transceiver.

In some embodiments, a first transmission delay between a reception ofan UWB signal at the first UWB transceiver and a correspondingtransmission of an UWB signal from the first UWB transceiver is known.In some embodiments, a second transmission delay between a reception ofan UWB signal at the second UWB transceiver and a correspondingtransmission of an UWB signal from second UWB transceiver is known. Insome embodiments, a third transmission delay between a reception of anUWB signal at the third UWB transceiver and a corresponding transmissionof an UWB signal from the third UWB transceiver is known.

In some embodiments, the first, second, and third transmission delaysmay be retrieved from a memory on the additional UWB transceiver. Insome embodiments, the first, second, and third transmission delays maybe decoded from one or more UWB signals received by the additional UWBtransceiver. In some embodiments, the first, second, and thirdtransmission delays and the stored additional transmission timestamp maybe used to compute the position of the additional UWB transceiverrelative to the first, second, and third UWB transceivers.

In some embodiments, a scheduling unit may be used to adjust atransmission schedule of UWB signals to include scheduled transmissionsof UWB signals from the additional UWB transceiver. In some embodiments,scheduling may compromise allocating time division multiple access(TDMA) slots. In some embodiments, at least one TDMA time slot may beallocated for transmission of UWB signals from the additional UWBtransceiver.

In some embodiments, a plurality of UWB signals may be wirelesslytransmitted from the first, second, and third UWB transceivers and theadditional UWB transceiver such that each of the plurality of UWBsignals comprises embedded relative position information of thetransmitting UWB transceiver.

In some embodiments, a self-localizing apparatus may receive theplurality of UWB signals and compute a relative position of theself-localizing apparatus based on the received plurality of UWBsignals.

In some embodiments, the computing of the position of the additional UWBtransceiver relative to the first, second, and third UWB transceivers bythe position calibration unit may be based on the transmissiontimestamps of the first, second, and third UWB signals.

In some embodiments, the transmission timestamps of the first, second,and third UWB signals may be either retrieved from a memory or receivedas payload of, and decoded from, at least one UWB signal.

In some embodiments, determining when to wirelessly transmit the atleast one additional UWB signal may be based on (1) one or morepredetermined rules or (2) data received by the additional UWBtransceiver. In some embodiments, the determining of a scheduledtransmission time slot for the additional UWB transceiver may beperformed using a scheduling unit or performed based on at least one of(i) the scheduling of the first, second, and third transmission times,(ii) a desired time separation between UWB signals of the first, second,or third transceiver and UWB signals of the additional transceiver, or(iii) a scheduling protocol.

In some embodiments, the method may further comprise determining ascheduled transmission time slot for the additional UWB transceiver, andwirelessly transmitting, using the additional UWB transceiver, anadditional UWB signal may be based on the scheduled transmission timeslot.

In some embodiments, the computing of the position of the additional UWBtransceiver may further be based on the transmission timestamp of thefourth UWB signal.

In some embodiments, a method is used for calibrating UWB transceiversin an UWB transceiver network. The UWB network may comprise at least afirst, second, and third UWB transceiver. Initially, the relativepositions of the three transceivers may be fully or partially unknown inrelations to each other. One goal of the calibration may be to computerelative positions of the first, second, and third UWB transceivers.

In some embodiments, each of the three UWB transceivers may beconfigured to wirelessly transmit UWB signals. Each of the three UWBtransceivers may also be configured to receive UWB signals transmittedby any of the other UWB transceivers. In some embodiments, each of thethree UWB transceivers may be configured to timestamp a transmissiontime of any UWB signal it transmits, and to timestamp a reception timeof any UWB signal received from any of the other UWB transceivers. Forexample, in some embodiments, an UWB signal transmitted by the first UWBtransceiver may be received by both the second and third UWBtransceivers. Each of the second and third UWB transceivers may thengenerate a reception timestamp indicating a time when the UWB signalfrom the first UWB transceiver was received.

In some embodiments, the relative positions of the three UWBtransceivers may be determined based on reception timestamps generatedby the at least two of the three UWB transceivers.

In some embodiments, at least three reception timestamps may be used todetermine the relative positions of the three UWB transceivers. Forexample, the first UWB transceiver may transmit a first UWB signal whichmay be received by the second and third UWB transceiver, where each ofthe second and third UWB transceivers generate a respective receptiontimestamp at the time of reception of the first UWB signal. The secondUWB transceiver may also transmit a second UWB signal which may bereceived at least by the third UWB transceiver, where the third UWBtransceiver generates a reception timestamp at the time of reception ofthe second UWB signal.

In some embodiments, the first UWB transceiver may transmit a first UWBsignal which may be received and timestamped by the second UWBtransceiver. The second UWB transceiver may transmit a second UWB signalwhich may be received and timestamped by the third UWB transceiver. Thethird UWB transceiver may transmit a third UWB signal which may bereceived and timestamped by the first UWB transceiver.

Thus, in some embodiments, at least two of the first, second, and thirdUWB transceivers are used to transmit at least two UWB signals. One ormore of the at least two UWB signals are then received by at least twoof the first, second, and third UWB transceivers resulting in at leastthree receptions of the at least two UWB signals. Each of the at leastthree receptions may be timestamped by at least two of the first,second, and third UWB transceivers resulting in generation of at leastthree reception timestamps.

In some embodiments, the at least three reception timestamps may then bereceived at a position calibration unit. The position calibration unitmay then compute relative positions of the first, second, and third UWBtransceivers based on the at least three reception timestamps. In someembodiments, the position calibration unit may solve a system ofhyperbolic equations or a linearized version of a system of hyperbolicequations to compute relative positions of the first, second, and thirdUWB transceivers.

In some embodiments, the position calibration unit may also receive atleast two transmission timestamps of the at least two UWB signals. Insome embodiments, the at least two transmission timestamps may eitherhave been received from memory or received as payload and decoded fromthe at least two or from other UWB signals. In some embodiments, theposition calibration unit may then compute relative positions of thefirst, second, and third UWB transceivers based on the at least threereception timestamps and at least two transmission timestamps.

In some embodiments, the first UWB transceiver comprises a first clock,the second UWB transceiver comprises a second clock, and the third UWBtransceiver comprises a third clock. In some embodiments, asynchronization unit may be used to synchronize the first, second, andthird clocks, reducing timing offsets or differences in rates.

In some embodiments, some of the first, second, and third UWBtransceivers may comprise a sensor. In some embodiments, each of thesensors may be configured to measure at least one common global propertysuch as gravitational force, an electromagnet force, a fluid pressure, agas pressure, a global positioning signal, or a radio time signal. Forexample, a first UWB transceiver may comprise a first gravitationalforce sensor, and a second UWB transceiver may comprise a secondgravitational force sensor.

In some embodiments, the first UWB transceivers may receive first datafrom a first sensor, and the second UWB transceivers may receive seconddata from a second sensor, and the third UWB transceiver may receivethird data from a third sensor. In some embodiments, UWB signalsgenerated by the first UWB transceivers may comprise payload datarepresentative of the first data, UWB signals generated by the secondUWB transceivers may comprise payload data representative of the seconddata, and UWB signals generated by the third UWB transceivers maycomprise payload data representative of the third data. In someembodiments, computing relative positions of the may further be based onat least two of first data, second data, and third data.

In some embodiments, the UWB transceiver network may comprise a fourthUWB transceiver. In some embodiments, the relative positions of thefourth UWB transceiver may be fully or partially unknown in relations tothe positions of the first, second, and third UWB transceivers. In someembodiments, the fourth UWB transceiver may similarly wirelesslytransmit UWB signals, and receive and timestamps UWB signals transmittedby other UWB transceivers.

In some embodiments, at least six reception timestamps may be used todetermine the relative positions of the four UWB transceivers. Thus, insome embodiments, at least three of the first, second, third, and fourthUWB transceivers are used to transmit at least three UWB signals. Two ormore of the at the least three UWB signals are then received by at leastthree of the first, second, third, and fourth UWB transceivers resultingin at least six receptions of the at least three UWB signals. Each ofthe at least six receptions may be timestamped by at least three of thefirst, second, third, and fourth UWB transceivers resulting ingeneration of at least six reception timestamps.

In some embodiments, the at least six reception timestamps may then bereceived at a position calibration unit. The position calibration unitmay then compute relative positions of the first, second, third, andfourth UWB transceivers based on the at least six reception timestamps.

In some embodiments, data representative of the relative positions ofthe first, second, third, and fourth UWB transceivers may be sent toself-localizing apparatus within a range of at least one of the first,second, third, and fourth UWB transceivers.

In some embodiments, at least one of the first, second, and third UWBtransceivers may comprise a sensor configured to detect movement of thatUWB transceiver. In some embodiments, the at least one of the first,second, and third UWB transceivers may wirelessly transmit informationindicating its movement in response to detection of the movement.

In some embodiments, a scheduling unit may schedule transmissions of UWBsignals from the first, second, and third UWB transceivers. In someembodiments, scheduling may compromise scheduling time division multipleaccess slot allocation.

In some embodiments, the UWB transceiver network may comprise anadditional UWB transceiver. The transmission of the additional UWBtransceiver may be configured not to interfere with transmissions of aparticular one of the first, second, and third UWB transceiver. In someembodiments, a scheduling unit may allocate one TDMA time slot to boththe additional UWB transceiver and to the particular one of the first,second, and third UWB transceivers.

In some embodiments, a position calibration unit may be used to refinedrelative positions of the first, second, and third UWB transceiversbased on at least two subsequently transmitted UWB signals.

In some embodiments, initial relative positions of UWB transceivers inthe position calibration unit may be initialized based on partialknowledge. The initializing may comprise initializing a positionestimate. In some embodiments, a position calibration unit maycontinuously maintain an estimate of relative positions of UWBtransceivers. The maintaining may comprise computing updated positionestimates.

While certain aspects of the present invention have been particularlyshown and described with reference to exemplary embodiments thereof, itwill be understood by those of ordinary skill in the art that variouschanges in form and details may be made therein without departing fromthe spirit and scope of the present invention as defined by thefollowing claims. For example, specific aspects of the presentdisclosure that apply to timestampable signals may apply equally well toUWB signals, or vice versa. As a further example, specific aspects ofthe present disclosure that apply to signals 102 may apply equally wellto signals 104, or vice versa. As a further example, specific aspects ofthe present disclosure that apply to signals 104 may apply equally wellto signals 1530, or vice versa. As a further example, specific aspectsof the present disclosure that apply to a localization unit 152 mayapply equally well to a position calibration unit 180, or vice versa.

It will also be understood that the transceivers, apparatus, andcomponents of the present disclosure may comprises hardware componentsor a combination of hardware and software components. The hardwarecomponents may comprise any suitable tangible components that arestructured or arranged to operate as described herein. Some of thehardware components (e.g., the scheduling unit, synchronization unit,scheduling unit, localization unit, compensation unit, control unit,etc.) may comprise processing circuitry (e.g., a processor or a group ofprocessors) to perform the operations described herein. The softwarecomponents may comprise code recorded on tangible computer-readablemedium. The processing circuitry may be configure by the softwarecomponents to perform the described operations.

It is therefore desired that the present embodiments be considered inall respects as illustrative and not restrictive.

FIGURE NUMERALS

-   100 Localization system-   102 Timestampable signal-   104 Timestampable signal between transceivers-   110 Transceiver-   110 a Transceiver 0-   110 b Transceiver 1-   110 c Transceiver 2-   112 Transceiver's antenna-   116 Transceiver's analog transmission electronics-   118 Transceiver's digital transmission electronics-   130 Self-localizing apparatus-   132 Self-localizing apparatus' antenna-   136 Self-localizing apparatus' analog reception electronics-   148 Self-localizing apparatus' digital reception electronics-   150 Scheduling unit-   152 Localization unit-   154 Transceiver's sensor-   155 Self-localizing apparatus' sensor-   156 Transceiver's global property-   158 Self-localizing apparatus' global property-   160 Transceiver's analog reception electronics-   164 Transceiver's digital reception electronics-   170 Transceiver's memory-   171 Self-localizing apparatus' memory-   174 Synchronization unit-   180 Position calibration unit-   202 Mobile transmitter-   204 Stationary receiver-   206 Centralized localization system-   208 Signal sent from mobile transmitter-   252 Mobile transceiver-   254 Stationary transceiver-   258 Two-way signals sent between stationary and mobile transceivers-   300 Clock-   304 Synchronization signal-   500 Compensation unit-   600 Progression of time as measured in the clock of self-localizing    apparatus A-   602 Arrival time of first message at self-localizing apparatus A's    antenna-   604 Difference between time-stamp of first message by    self-localizing apparatus A's digital reception electronics and    arrival time of first message at self-localizing apparatus A's    antenna-   606 Time-stamp of first message by self-localizing apparatus A's    digital reception electronics-   612 Arrival time of second message at self-localizing apparatus A's    antenna-   614 Difference between time-stamp of second message by    self-localizing apparatus A's digital reception electronics and    arrival time of second message at self-localizing apparatus A's    antenna-   616 Time-stamp of second message by self-localizing apparatus A's    digital reception electronics-   700 Channel Impulse Response (CIR)-   702 UWB signal noise floor level-   710 UWB signal preamble-   712 UWB signal start frame delimiter (SFD)-   714 UWB signal packet header-   716 UWB signal payload-   720 Progression of time during UWB signal transmission-   722 Time at which UWB signal transmission begins-   724 Time at which UWB signal transmission ends-   800 Reception timestamp-   802 Clock correction-   804 Effect compensation-   806 Corrected time of arrival-   810 Remote global property-   812 Compare-   814 Global property model-   820 Extended Kalman filter process update-   822 Prior-   824 Extended Kalman filter measurement update-   826 Posterior-   830 Location-   840 Control unit-   900 Relative angle between self-localizing apparatus and transceiver-   900 a Relative angle between self-localizing apparatus and    transceiver 0-   900 b Relative angle between self-localizing apparatus and    transceiver 1-   902 Reception delay of UWB signal caused by relative angle between    self-localizing apparatus and transceiver-   902 a Reception delay of UWB signal caused by relative angle between    self-localizing apparatus and transceiver 0-   902 b Reception delay of UWB signal caused by relative angle between    self-localizing apparatus and transceiver 1-   903 Coordinate system-   904 Distance between self-localizing apparatus and transceiver-   904 a Distance between self-localizing apparatus and transceiver 0-   904 b Distance between self-localizing apparatus and transceiver 1-   906 Reception delay of UWB signal caused by distance between    self-localizing apparatus and transceiver-   906 a Reception delay of UWB signal caused by distance between    self-localizing apparatus and transceiver 0-   906 b Reception delay of UWB signal caused by distance between    self-localizing apparatus and transceiver 1-   908 Equivalent obstruction width between self-localizing apparatus    and transceiver-   908 c Equivalent obstruction width between self-localizing apparatus    and transceiver 2-   910 Reception delay of UWB signal caused by equivalent obstruction    width between self-localizing apparatus and transceiver-   910 a Reception delay of UWB signal caused by equivalent obstruction    width between self-localizing apparatus and transceiver 0-   910 b Reception delay of UWB signal caused by equivalent obstruction    width between self-localizing apparatus and transceiver 1-   910 c Reception delay of UWB signal caused by equivalent obstruction    width between self-localizing apparatus and transceiver 2-   1004 On-board actuator-   1006 Movement-   1008 Reference signal-   1100 Mobile robot-   1102 Central processing electronics-   1104 Gyroscope-   1106 Accelerometer-   1110 Propeller-   1112 Off-board controller-   1114 Off-board sensor-   1202 Horizontal controller-   1204 Command specifying vehicle acceleration in the x-direction-   1206 Command specifying vehicle acceleration in the y-direction-   1210 Vertical controller-   1212 Command specifying vehicle acceleration in the z-direction-   1220 Reduced attitude controller-   1222 Command specifying vehicle pitch rate-   1224 Command specifying vehicle roll rate-   1230 Yaw controller-   1232 Command specifying vehicle yaw rate-   1242 Body rate controller-   1244 Actuator commands-   1300 a Time Difference of Arrival (TDOA) between reception of packet    120 a at time R1 and reception of packet 120 b at time R2-   1300 b Time Difference of Arrival (TDOA) between reception of packet    120 b at time R2 and reception of packet 120 c at time R3-   1300 c Time Difference of Arrival (TDOA) between reception of packet    120 c at time R3 and reception of packet 120 d at time R4-   1310 Regular time intervals between transmitting packets sent in    round-robin fashion (T2−T1=T3−T2=T4−T3)-   1400 Radial coverage of transceiver signal-   1410 Wireless communication between two in-range transceivers-   1420 Overlapping spatial coverage by multiple transceivers within    one cell-   1440 Overlapping spatial coverage by multiple transceiver cells-   1500 Data transceiver-   1505 Data transceiver antenna-   1510 Data access point-   1520 Two-way signaling between data transceiver and data access    point-   1530 Two-way signaling between two data transceivers

What is claimed:
 1. A method for adding an additional transceiver to anactive transceiver network comprising at least first, second, and thirdtransceivers with known relative locations, the method comprising:activating the additional transceiver to receive signals within wirelessreception range of the first, second, and third transceivers, whereinthe additional transceiver comprises a clock and has at least apartially unknown relative position; wirelessly transmitting, using thefirst transceiver, a first signal; wirelessly transmitting, using thesecond transceiver, a second signal; wirelessly transmitting, using thethird transceiver, a third signal, wherein the first, second, and thirdsignals are each spread over a bandwidth that exceeds the lesser of 125MHz and 5% of an arithmetic center frequency of the signal; receiving,at the additional transceiver, the first, second, and third signals;timestamping, using the additional transceiver, the reception of thefirst, second, and third signals based on the additional transceiver'sclock; computing, using a position calibration unit, the position of theadditional transceiver relative to the first, second, and thirdtransceivers based on: the reception timestamps of the first, second,and third received signals; and the known relative locations of thefirst, second, and third transceivers; and wirelessly transmitting,using the additional transceiver, an additional signal, wherein theadditional signal is spread over a bandwidth that exceeds the lesser of125 MHz and 5% of an arithmetic center frequency of the signal.
 2. Themethod according to claim 1, wherein: the transceiver network furthercomprises a fourth transceiver with a known location relative to thefirst, second, and third transceivers; the additional transceiver iswithin reception range of the fourth transceiver; the method furthercomprises: wirelessly transmitting, using the fourth transceiver, afourth signal, wherein the fourth signal is spread over a bandwidth thatexceeds the lesser of 125 MHz and 5% of an arithmetic center frequencyof the signal; receiving, at the additional transceiver, the fourthsignal; and timestamping, using the additional transceiver, thereception of the fourth signal based on the additional transceiver'sclock; and computing the position of the additional transceiver isfurther based on: the reception timestamp of the fourth signal; and theknown location of the fourth transceiver relative to the first, second,and third transceivers.
 3. The method of claim 1, wherein: the first,second, and third transceivers have clocks synchronized in at least oneof clock offset or clock rate; transmission timestamps of the first,second, and third signals are known in the synchronized clocks' time;and computing the position of the additional transceiver is furtherbased on the transmission timestamps of the first, second, and thirdsignals.
 4. The method of claim 1, wherein the first, second, and thirdtransmission timestamps are retrieved from a memory on the additionaltransceiver or decoded by the additional transceiver from one or moresignals received by the additional transceiver.
 5. The method of claim1, wherein the active transceiver network further comprises a fourthtransceiver with a known location relative to the first, second, andthird transceivers, the method comprising: wirelessly transmitting,using the fourth transceiver, a fourth signal, wherein the fourth signalis spread over a bandwidth that exceeds the lesser of 125 MHz and 5% ofan arithmetic center frequency of the signal; receiving, at theadditional transceiver, the fourth signal; and timestamping, using theadditional transceiver, the reception of the fourth signal based on theadditional transceiver's clock, wherein the computing the position ofthe additional transceiver is further based on: the reception timestampof the fourth received signal; the known relative location of the fourthtransceiver; and transmission timestamps of the first, second, third,and fourth signals, and wherein the computing implicitly or explicitlycomprises computation of at least one of a clock offset or a clock ratebetween the first, second, third, and fourth transceivers and theadditional transceiver.
 6. The method of claim 1, further comprising:wirelessly transmitting, using the additional transceiver, at least oneadditional signal prior to the wireless transmission of the first,second, and third signals, wherein the at least one additional signal isspread over a bandwidth that exceeds the lesser of 125 MHz and 5% of anarithmetic center frequency of the signal; storing at least onetransmission timestamp of the at least one additional signal in theadditional transceiver clock's time in a memory; receiving an additionalsignal from the additional transceiver at the first transceiver;receiving an additional signal from the additional transceiver at thesecond transceiver; and receiving an additional signal from theadditional transceiver at the third transceiver, wherein: a firsttransmission delay between a reception of a signal at the firsttransceiver and a corresponding transmission of a signal from the firsttransceiver is known; a second transmission delay between a reception ofa signal at the second transceiver and a corresponding transmission of asignal from the second transceiver is known; a third transmission delaybetween a reception of a signal at the third transceiver and acorresponding transmission of a signal from the third transceiver isknown; and computing the position of the additional transceiver isfurther based on the first, second, and third transmission delays andthe at least one transmission timestamp of the at least one additionalsignal stored in the memory.
 7. The method of claim 6, wherein thefirst, second, and third transmission delays are retrieved from a memoryon the additional transceiver.
 8. The method of claim 6, wherein thefirst, second, and third transmission delays are decoded from one ormore signals received by the additional transceiver.
 9. The method ofclaim 1, wherein determining the scheduled transmission time slotcomprises adjusting, using a scheduling unit, a transmission schedule ofsignals to include scheduled transmissions of signals from theadditional transceiver.
 10. The method of claim 1, where determining thescheduled transmission time slot comprises allocating, using ascheduling unit, at least one empty time division multiple access (TDMA)time slot to the additional transceiver.
 11. The method of claim 1,further comprising wirelessly transmitting a plurality of signals fromthe first, second, and third transceivers and the additionaltransceiver, wherein each of the plurality of signals comprises embeddedrelative position information of the transmitting transceiver.
 12. Themethod of claim 11, further comprising: receiving, using aself-localizing apparatus, the plurality of signals; and computing,using the self-localizing apparatus, a relative position of theself-localizing apparatus based on the received plurality of signals.13. A transceiver network, comprising: a first transceiver configured totransmit a first signal; a second transceiver configured to transmit asecond signal; a third transceiver configured to transmit a thirdsignal, wherein the first, second, and third signals are each spreadover a bandwidth that exceeds the lesser of 125 MHz and 5% of anarithmetic center frequency of the signal; an additional transceiverthat comprises a clock, wherein the additional transceiver has at leasta partially unknown relative position and is configured to: receive thefirst, second, and third signals; and timestamp the reception of thefirst, second, and third signals based on the additional transceiver'sclock; a position calibration unit configured to compute the position ofthe additional transceiver relative to the first, second, and thirdtransceivers based on: the reception timestamps of the first, second,and third received signals; and known relative locations of the first,second, and third transceivers; and a scheduling unit configured todetermine a scheduled transmission time slot for the additionaltransceiver.
 14. The transceiver network of claim 13, furthercomprising: a fourth transceiver configured to transmit a fourth signal,wherein the fourth signal is spread over a bandwidth that exceeds thelesser of 125 MHz and 5% of an arithmetic center frequency of thesignal; wherein the additional transceiver is configured to: receive thefourth signal; and timestamp the reception of the fourth signal based onthe additional transceiver's clock; and wherein the position calibrationunit is configured to compute the position of the additional transceiverlocation further based on: the reception timestamp of the fourth signal;and a known location of the fourth transceiver relative to the first,second, and third transceivers.
 15. The transceiver network of claim 13,further comprising a synchronizing unit configured to synchronize thefirst, second, and third transceivers in time, wherein computing theposition of the additional transceiver is further based on transmissiontimestamps of the first, second, and third signals in the synchronizedtime.
 16. The transceiver network of claim 13, wherein the additionaltransceiver is configured to wirelessly transmit at least one additionalsignal prior to the wireless transmission of the first, second, andthird signals and wherein the at least one additional signal is spreadover a bandwidth that exceeds the lesser of 125 MHz and 5% of anarithmetic center frequency of the signal, the network furthercomprising: memory configured to store at least one transmissiontimestamp of the at least one additional signal in the additionaltransceiver clock time; wherein the first transceiver is configured toreceive an additional signal from the additional transceiver; whereinthe second transceiver is configured to receive an additional signalfrom the additional transceiver; wherein the third transceiver isconfigured to receive an additional signal from the additionaltransceiver; and wherein the position calibration unit is configured tocompute the position of the additional transceiver further based on: theat least one transmission timestamp of the at least one additionalsignal; a known first transmission delay between a reception of a signalat the first transceiver and a corresponding transmission of a signalfrom the first transceiver; a known second transmission delay between areception of a signal at the second transceiver and a correspondingtransmission of a signal from the second transceiver; and a third knowntransmission delay between a reception of a signal at the thirdtransceiver and a corresponding transmission of a signal from the thirdtransceiver.
 17. The transceiver network of claim 13, wherein thescheduling unit is configured to determine the schedule transmissiontime slot by adjusting a transmission schedule of signals to includescheduled transmissions of signals from the additional transceiver. 18.The transceiver network of claim 13, further comprising: a synchronizingunit configured to synchronize the first, second, and third transceiversin time, wherein the position calibration unit is configured to computethe position of the additional transceiver further based on transmissiontimestamps of the first, second, and third signals in the synchronizedtime.
 19. The transceiver network of claim 13, wherein the first,second, and third transceivers and the additional transceiver are eachconfigured to: transmit a signal; and embed in the signal relativeposition information of the transmitting transceiver.
 20. Thetransceiver network of claim 19, further comprising: a self-localizingapparatus configured to: receive signals from the first, second, andthird transceivers and the additional transceiver; and compute arelative position of the self-localizing apparatus based on the receivedsignals.